113. D. Costarelli, M. Piconi, M. Sharma, U. Singh, Higher order convergence of a multivariate neural network interpolation operator for irregular grid, Results in Mathematics, 80 (2025) 189.
109. D. Costarelli, Approximation of functions of several variables by deep operators activated by sigmoidal functions and rectied power units, Rendiconti del Circolo Matematico di Palermo, 74 (2025) Art. n. 126.
101. D. Costarelli, M. Piconi, Asymptotic analysis for neural network operators employing the Hardy-Littelwood maximal inequality, Mediterranean Journal of Mathematics, 21 (2024) 199.
97. D. Costarelli, Nonlinear exponential sampling: approximation results and applications, In: Results of Mathematical Analysis and its Applications, CRC Press, Taylor and Frencis Group, (2024) 225-264.
92. D. Costarelli, G. Vinti, Asymptotic theorems for Durrmeyer sampling operators with respect to the Lp-norm, In: Casey, S.D., Dodson, M.M., Ferreira, P.J.S.G., Zayed, A. (eds) Sampling, Approximation, and Signal Analysis. Applied and Numerical Harmonic Analysis. Birkhauser, Cham. https : //doi.org/10.1007/978 − 3 − 031 − 41130 − 4_2.
88. D. Costarelli, M. Natale, G. Vinti, Convergence results for nonlinear sampling Kantorovich operators in modular spaces, Numerical Functional Analysis and Optimization, 44 (12) (2023) 1276-1299.
85. M. Cantarini, D. Costarelli, G. Vinti, Convergence of a class of generalized sampling Kantorovich operators perturbed by multiplicative noise, In: Candela, A.M., Cappelletti Montano, M., Mangino, E. (eds) Recent Advances in Mathematical Analysis. Trends in Mathematics. Birkhauser, Cham. (2023) 249-267.
84. D. Costarelli, M. Piconi, G. Vinti, Quantitative estimates for Durrmeyer-sampling series in Orlicz spaces, Sampling Theory, Signal Processing, and Data Analysis, special issue dedicated to P.L. Butzer, 21(3) (2023) 3.
83. D. Costarelli, M. Piconi, G. Vinti, On the convergence properties of Durrmeyer-Sampling type operators in Orlicz spaces, Mathematische Nachrichten, 296 (2023) 588-609.
82. A. Osowska-Kurczab, T. Les, T. Markiewicz, M. Dziekiewicz, M. Lorent, S. Cierniak, D. Costarelli, M. Seracini, G. Vinti, Improvement of renal image recognition through resolution enhancement, Expert Systems With Applications, 213(A) (2023) Art.Numb. 118836.
81. D. Costarelli, M. Piconi, G. Vinti, The multivariate Durrmeyer-sampling type operators: approximation in Orlicz spaces, Dolomites Research Notes on Approximation, Special Issue ATMA2021 - Approximation: Theory, Methods, and Applications, 15 (2022) 128-144.
80. D. Costarelli, Density results by deep neural network operators with integer weights, Mathematical Modelling and Analysis, 27(4) (2022) 547-560.
79. N. Çetin, D. Costarelli, M. Natale, G. Vinti, Nonlinear multivariate sampling Kantorovich operators: quantitative estimates in functional spaces, Dolomites Research Notes on Approximation, Special Issue dedicated to Robert Schaback on the occasion of his 75th birthday, 15 (2022) 12-25.
78. T. Acar, O. Alagöz, A. Aral, D. Costarelli, M. Turgay, G. Vinti, Approximation by sampling Kantorovich series in weighted space of functions, Turkish Journal of Mathematics, 46 (7) (2022) 2663-2676.
77. L. Coroianu, D. Costarelli, U. Kadak, Quantitative estimates for neural network operators implied by the asymptotic behaviour of the sigmoidal activation functions, Mediterranean Journal of Mathematics, 19 (5) (2022) Article number: 211.
76. T. Acar, O. Alagöz, A. Aral, D. Costarelli, M. Turgay, G. Vinti, Convergence of generalized sampling series in weighted spaces, Demonstratio Mathematica 55 (2022) 153-162.
75. D. Costarelli, G. Vinti, Approximation properties of the sampling Kantorovich operators: regularization, saturation, inverse results and Favard classes in Lp-spaces, Journal of Fourier Analysis and Applications, 28 (2022) Art. numb. 49.
74. C. Cagini, D. Costarelli, R. Gujar, M. Lupidi, G.A. Lutty, M. Seracini, G. Vinti, Improvement of retinal OCT angiograms by sampling Kantorovich algorithms in the assessment of retinal and choroidal perfusion, Applied Mathematics and Computation, 427 (2022) 127152.
73. M. Cantarini, L. Coroianu, D. Costarelli, S. Gal, G. Vinti, Inverse result of approximation for the max-product neural network operators of the Kantorovich type and their saturation order, Mathematics, 10 (2022) Article Number 63.
72. M. Cantarini, D. Costarelli, G. Vinti, Approximation of dierentiable and not dierentiable signals by the rst derivative of sampling Kantorovich operators, Journal of Mathematical Analysis and Applications, 509 (2022) Article Number: 125913.
71. L. Coroianu, D. Costarelli, S. G. Gal, G. Vinti, Some direct connections between the approximation by positive linear operators and their max-product counterparts , Numerical Functional Analysis and Optimization, 42 (11) (2021) 1263-1286.
70. D. Costarelli, P. Pozzilli, M. Seracini, G. Vinti, Enhancement of Cone-Beam Computer Tomography dental-maxillofacial images by Sampling Kantorovich algorithm , Symmetry, 13 (8) (2021) 1450.
69. D. Costarelli, G. Vinti, Convergence of sampling Kantorovich operators in modular spaces with applications, Rendiconti del Circolo Matematico di Palermo, 70 (2) (2021) 1115-1136.
68. F. Asdrubali, G. Baldinelli, F. Bianchi, D. Costarelli, F. D'Alessandro, F. Scrucca, M. Seracini, G. Vinti, Mathematical models for the improvement of detection techniques of industrial noise sources from acoustic images, Mathematical Methods in the Applied Sciences, 44 (13) (2021) 10448-10459.
67. N. Çetin, D. Costarelli, G. Vinti, Quantitative estimates for nonlinear sampling Kantorovich operators, Results in Mathematics, 76 (2021) Article Numb. 80.
66. F. Asdrubali, G. Baldinelli, F. Bianchi, D. Costarelli, F. D'alessandro, F. Scrucca, M. Seracini, G. Vinti, Innovative techniques for the improvement of industrial noise sources identication by beamforming, Noise Mapping, 8 (2021) 129-137.
65. L. Angeloni, N. Çetin, D. Costarelli, A.R. Sambucini, G. Vinti, Multivariate sampling Kantorovich operators: quantitative estimates in Orlicz spaces, Constructive Mathematical Analysis, special issue in honor of Prof. F. Altomare, in the occasion of his 70th birthday, 4 (2) (2021) 229-241.
64. M. Cantarini, D. Costarelli, G. Vinti, Asymptotic expansions for the neural network operators of the Kantorovich type and high order of approximation, Mediterranean Journal of Mathematics, 18 (2021) Article Number 66.
63. D. Costarelli, N. Kyurkchiev, A note on the smooth approximation to |x(1−x) . . . (n−1−x)| using Gaussian error function, Communications in Applied Analysis, 25 (1) (2021), 1-10.
62. L. Coroianu, D. Costarelli, S. G. Gal, G. Vinti, Approximation by max-product sampling Kantorovich operators with generalized kernels, Analysis and Applications, 19 (2) (2021) 219-244.
61. L. Angeloni, D. Costarelli, G. Vinti, Approximation properties of mixed sampling-Kantorovich operators, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matemáticas, 115 (4) (2021).
60. D. Costarelli, A. Croitoru, A. Gavrilut, A. Iosif, A.R. Sambucini, The Riemann-Lebesgue integral of interval-valued multifunctions, Mathematics, 8 (12) (2020) 2250.
59. L. Angeloni, D. Costarelli, M. Seracini, G. Vinti, L. Zampogni, Variation diminishing-type properties for multivariate sampling Kantorovich operators, Bollettino dell'Unione Matematica Italiana, special issue dedicated to Prof. Domenico Candeloro, 13 (2020) 595-605.
58. T. Acar, D. Costarelli, G. Vinti, Linear prediction and simultaneous approximation by m-th order Kantorovich type sampling series, Banach Journal of Mathematical Analysis, 14 (4) (2020) 1481-1508.
57. L. Angeloni, D. Costarelli, G. Vinti, Quantitative estimates for sampling type operators with respect to the Jordan variation, Atti della Accademia Nazionale dei Lincei Rendiconti Lincei Matematica e Applicazioni, 31 (2020), 269-284.
56. L. Coroianu, D. Costarelli, S. G. Gal, G. Vinti, Approximation by multivariate max-product Kantorovich-type operators and learning rates of least-squares regularized regression , Communications on Pure and Applied Analysis, 19 (8) (2020), 4213-4225.
55. D. Costarelli, G. Vinti, Voronovskaja type theorems and high order convergence neural network operators with sigmoidal functions, Mediterranean Journal of Mathematics, 17 (2020) Article Numb. 77.
54. M. Cantarini, D. Costarelli, G. Vinti, A solution of the problem of inverse approximation for the sampling Kantorovich operators in case of Lipschitz functions, Dolomites Research Notes on Approximation, 13 (2020) 30-35.
53. D. Costarelli, G. Vinti, Asymptotic expansions and Voronovskaja type theorems for the multivariate neural network operators, Mathematical Foundations of Computing, 3 (1) (2020) 41-50.
52. F. Cluni, D. Costarelli, V. Gusella, G. Vinti, Reliability increase of masonry characteristics estimation by sampling algorithm applied to thermographic digital images, Probabilistic Engineering Mechanics, 60 (2020) 103022.
51. D. Costarelli, M. Seracini, G. Vinti, A comparison between the sampling Kantorovich algorithm for digital image processing with some interpolation and quasi-interpolation methods , Applied Mathematics and Computation, 374 (2020) 125046.
50. L. Angeloni, D. Costarelli, G. Vinti, Convergence in variation for the multidimensional generalized sampling series and applications to smoothing for digital image processing , Annales Academiae Scientiarum Fennicae Mathematica, 45 (2020) 751-770.
49. D. Costarelli, M. Seracini, G. Vinti, A segmentation procedure of the pervious area of the aorta artery from CT images without contrast medium, Mathematical Methods in the Applied Sciences, 43 (2020) 114-133.
48. D. Costarelli, G. Vinti, Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels, Analysis and Mathematical Physics, 9 (2019) 2263-2280.
47. D. Costarelli, Approximate solutions of Volterra integral equations by an interpolation method based on ramp functions, Computational and Applied Mathematics, 38 (4) (2019) Article 159.
46. D. Costarelli, A.R. Sambucini, G. Vinti, Convergence in Orlicz spaces by means of the multivariate max-product neural network operators of the Kantorovich type and applications , Neural Computing & Applications, 31 (2019) 5069-5078.
45. D. Costarelli, G. Vinti, Quantitative estimates involving K-functionals for neural network type operators, Applicable Analysis, 98 (15) (2019) 2639-2647.
44. E. Cieri, D. Costarelli, B. Fiorucci, G. Isernia, M.Seracini, G. Simonte, G.Vinti, Computed tomography post-processing for abdominal aortic aneurysm lumen recognition in unenhanced exams, Annals of Vascular Surgery, 60 (2019), 407-414.
43. D. Costarelli, A. Krivoshein, M.A. Skopina, G. Vinti, Quasi-projection operators with applications to differential-dierence sampling expansions, Applied Mathematics and Computation, 363 (2019) 124623.
42. B. Bartoccini, D. Costarelli, G. Vinti, Extension of saturation theorems for the sampling Kantorovich operators, Complex Analysis and Operator Theory, 13 (3) (2019), 1161-1175.
41. D. Costarelli, G. Vinti, Inverse results of approximation and the saturation order for the sampling Kantorovich series, Journal of Approximation Theory, 242 (2019), 64-82.
40. L. Coroianu, D. Costarelli, S. G. Gal, G. Vinti, The max-product generalized sampling operators: convergence and quantitative estimates, Applied Mathematics and Computation, 355 (2019) 173-183.
39. L. Angeloni, D. Costarelli, G. Vinti, A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators, Mediterranean Journal of Mathematics, 16 (2) (2019), Article 44.
38. D. Costarelli, G. Vinti, Approximation results by multivariate sampling Kantorovich series in Musielak-Orlicz spaces, Dolomites Research Notes on Approximation, 12 (2019) 7-16.
37. D. Costarelli, G. Vinti, An inverse result of approximation by sampling Kantorovich series, Proceedings of the Edinburgh Mathematical Society, 62 (1) (2019), 265-280.
36. D. Costarelli, G. Vinti, A quantitative estimate for the sampling Kantorovich series in terms of the modulus of continuity in Orlicz spaces, Constructive Mathematical Analysis, 2 (1) (2019), 8-14.
35. D. Costarelli, R. Spigler, An ecient asymptotic-numerical method to solve nonlinear systems of one-dimensional balance laws, Computational & Applied Mathematics, 37 (5) (2018) 6034-6052.
34. D. Costarelli, G. Vinti, Approximation theorems for a family of multivariate neural network operators in Orlicz-type spaces, Ricerche di Matematica, 67 (2) (2018) 387-399.
33. L. Angeloni, D. Costarelli, G. Vinti, A characterization of the convergence in variation for the generalized sampling series, Annales Academiae Scientiarum Fennicae Mathematica, 43 (2018), 755-767.
32. D. Costarelli, R. Spigler, Solving numerically nonlinear systems of balance laws by multivariate sigmoidal functions approximation, Computational and Applied Mathematics, 37 (1) (2018) 99-133.
31. D. Costarelli, A.R. Sambucini, Approximation results in Orlicz spaces for sequences of Kantorovich max-product neural network operators, Results in Mathematics, 73 (1) (2018) 15.
30. D. Costarelli, G. Vinti, Estimates for the neural network operators of the max-product type with continuous and p-integrable functions, Results in Mathematics, 73 (1) (2018) 12.
29. F. Asdrubali, G. Baldinelli, F. Bianchi, D. Costarelli, L. Evangelisti, A. Rotili, M. Seracini, G. Vinti, A model for the improvement of thermal bridges quantitative assessment by infrared thermography, Applied Energy, 211 (2018) 854-864.
28. F. Asdrubali, G. Baldinelli, F. Bianchi, D. Costarelli, A. Rotili, M. Seracini, G. Vinti, Detection of thermal bridges from thermographic images by means of image processing approximation algorithms, Applied Mathematics and Computation, 317 (2018) 160-171.
27. D. Costarelli, G. Vinti, Saturation classes for max-product neural network operators activated by sigmoidal functions, Results in Mathematics, 72 (3) (2017) 1555-1569.
26. D. Costarelli, G. Vinti, Convergence results for a family of Kantorovich max-product neural network operators in a multivariate setting, Mathematica Slovaca, 67 (6) (2017), 1469-1480.
25. D. Costarelli, A.M. Minotti, G. Vinti, Approximation of discontinuous signals by sampling Kantorovich series, Journal of Mathematical Analysis and Applications, 450 (2) (2017) 1083-1103.
24. D. Costarelli, G. Vinti, Convergence for a family of neural network operators in Orlicz spaces, Mathematische Nachrichten, 290 (2-3) (2017) 226-235.
23. D. Costarelli, G. Vinti, Pointwise and uniform approximation by multivariate neural network operators of the max-product type, Neural Networks, 81 (2016) 81-90.
22. D. Costarelli, R. Spigler, G. Vinti, A survey on approximation by means of neural network operators, Journal of NeuroTechnology, 1 (1) (2016).
21. D. Costarelli, G. Vinti, Max-product neural network and quasi-interpolation operators activated by sigmoidal functions, Journal of Approximation Theory, 209 (2016), 1-22.
20. D. Costarelli, G. Vinti, Approximation by max-product neural network operators of Kantorovich type, Results in Mathematics, 69 (3) (2016), 505-519.
19. D. Costarelli, G. Vinti, Degree of approximation for nonlinear multivariate sampling Kantorovich operators on some functions spaces, Numerical Functional Analysis and Optimization, 36 (8) (2015) 964-990.
18. D. Costarelli, Neural network operators: constructive interpolation of multivariate functions, Neural Networks, 67 (2015) 28-36.
17. D. Costarelli, R. Spigler, How sharp is the Jensen inequality ?, Journal of Inequalities and Applications, 2015:69 (2015) 1-10.
16. F. Cluni, D. Costarelli, A.M. Minotti, G. Vinti, Enhancement of thermographic images as tool for structural analysis in earthquake engineering, NDT & E International, 70 (2015) 60-72.
15. D. Costarelli, R. Spigler, Approximation by series of sigmoidal functions with applications to neural networks, Annali di Matematica Pura ed Applicata, 194 (1) (2015), 289-306.
14. F. Cluni, D. Costarelli, A.M. Minotti, G. Vinti, Applications of sampling Kantorovich operators to thermographic images for seismic engineering, Journal of Computational Analysis and Applications, 19 (4) (2015) 602-617.
13. D. Costarelli, G. Vinti, Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces, Journal of Integral Equations and Applications, 26 (4) (2014) 455-481.
12. D. Costarelli, G. Vinti, Order of approximation for sampling Kantorovich operators, Journal of Integral Equations and Applications, 26 (3) (2014) 345-368.
11. D. Costarelli, Interpolation by neural network operators activated by ramp functions, Journal of Mathematical Analysis and Application, 419 (1) (2014) 574-582.
10. D. Costarelli, R. Spigler, Convergence of a family of neural network operators of the Kantorovich type, Journal of Approximation Theory, 185 (2014) 80-90.
9. D. Costarelli, R. Spigler, A collocation method for solving nonlinear Volterra integro-differential equations of the neutral type by sigmoidal functions, Journal of Integral Equations and Applications, 26 (1) (2014) 15-52.
8. D. Costarelli, G. Vinti, Order of approximation for nonlinear sampling Kantorovich operators in Orlicz spaces, Commentationes Mathematicae, Special number dedicated to Prof. Julian Musielak, 53 (2) (2013), 271-292.
7. D. Costarelli, R. Spigler, Multivariate neural network operators with sigmoidal activation functions, Neural Networks, 48 (2013), 72-77.
6. D. Costarelli, M. Laurenzi, R. Spigler, Asymptotic-numerical solution of nonlinear systems of one-dimensional balance laws, Journal of Computational Physics, 245 (2013), 347-363.
5. D. Costarelli, R. Spigler, Approximation results for neural network operators activated by sigmoidal functions, Neural Networks, 44 (2013) 101-106.
3. D. Costarelli, R. Spigler, Constructive approximation by superposition of sigmoidal functions, Analysis in Theory and Applications, 29 (2) (2013), 169-196.
4. D. Costarelli, R. Spigler, Solving Volterra integral equations of the second kind by sigmoidal functions approximation, Journal of Integral Equations and Applications, 25 (2) (2013), 193-222.
2. D. Costarelli, G. Vinti, Approximation by Nonlinear Multivariate Sampling-Kantorovich Type Operators and Applications to Image Processing, Numerical Functional Analysis and Optimization, 34 (8) (2013), 819-844.
1. D. Costarelli, G. Vinti, Approximation by Multivariate Generalized Sampling Kantorovich Operators in the Setting of Orlicz Spaces, Bollettino U.M.I., Special volume dedicated to Prof. Giovanni Prodi, (9) IV (2011), 445-468.
Pubblications in Proceedings of Conferences and Prefaces of special issues:
10. D. Costarelli, Preface: Special issue on approximation by linear and nonlinear operators with applications. Part III, Mathematical Foundations of Computing, 6 (1) (2023) i-ii.
9. D. Costarelli, Preface: Special issue on approximation by linear and nonlinear operators with applications. Part II, Mathematical Foundations of Computing, 5 (3) (2022) i-ii.
8. D. Costarelli, Preface: Special issue on approximation by linear and nonlinear operators with applications. Part I, Mathematical Foundations of Computing, 4 (4) (2021) i-ii.
7. E. Cieri, B. Fiorucci, D. Costarelli, G. Isernia, M.Seracini, G. Simonte, G.Vinti, An Automatized Algorithm to Evaluate the Patent Aortic Lumen in Non Contrast Computed Tomographies, European Journal of Vascular and Endovascular Surgery, 58 (6) Supplement 2, (2019) e275-e276.
6. D. Costarelli, M. Seracini, G. Vinti, Approximation problems for digital image processing and applications, In: Computational Science and Its Applications - ICCSA 2018, O. Gervasi et al. (Eds.), Springer International Publishing AG, Cham. Lecture Notes in Computer Science, 10960 (2018) 19-31.
5. F. Cluni, D. Costarelli, A.M. Minotti, G. Vinti Applications of Approximation Theory to thermographic images in earthquake engineering, PAMM - Proceedings in Applied Mathematics and Mechanics, 15 (2015), 663-664.
4. D. Costarelli, M. Seracini, G. Vinti, Digital image processing algorithms for diagnosis in arterial diseases, PAMM - Proceedings in Applied Mathematics and Mechanics, 15 (2015), 669-670.
3. D. Costarelli, G. Vinti, Multivariate sampling Kantorovich operators: from the theory to the Digital Image Processing algorithm, PAMM - Proceedings in Applied Mathematics and Mechanics, 15 (2015), 655-656.
2. D. Costarelli, G. Vinti, Sampling Kantorovich operators and their applications to approximation problems and to Digital Image Processing, Proceedings of 8th International Conference on Applied Mathematics, Simulation, Modelling (ASM'14), Florence, Italy November 22-24, 2014. In: Recent Advances in Applied Mathematics, Modelling and Simulation, (2014) 256-260.
F. Cluni, D. Costarelli, A.M. Minotti, G. Vinti, Multivariate sampling Kantorovich operators: approximation and applications to civil engineering, EURASIP Open Library, Proceedings of SampTA 2013, 10th International Conference on Sampling Theory and Applications, July 1st - July 5th, 2013, Jacobs University, Bremen, pp. 400-403.