Research

ORCID: 0000-0003-1053-0892

Scopus ID: 6603342438

Mathematics Genealogy Project

LIST OF PUBLICATIONS

1. R. Abreu Blaya, Y. Quintana,  D. A. Santiesteban, J. M. Sigarreta Almira. On fractal Bernoulli differential equations and their applications. To appear in  Miskolc Math. Notes.

2. C. Cesarano, Y. Quintana, W. Ramírez. Degenerate versions of hypergeometric Bernoulli/Euler polynomials. To appear in  Lobachevskii J. Math.

3. A. Granados, A. Portilla, Y. Quintana, E. Tourís. Bounds for the Gutman-Milovanović  index and some applications. J. Math. Chem.  (2024). https://doi.org/10.1007/s10910-024-01677-7

4. Y. Quintana, W. Ramírez. A degenerate version of hypergeometric Bernoulli polynomials: announcement of results, Commun. Appl. Ind. Math. 15(2) (2024) 36-43. https://doi.org/10.2478/caim-2024-0011

5. C. Cesarano, Y. Quintana, W. Ramírez. A survey on orthogonal polynomials from a monomiality principle point of view, Encyclopedia  4 (2024), 1355-1366. https://doi.org/10.3390/encyclopedia4030088

6. H. Hernández, Y. Quintana, F. J. Ramírez. A note on generalized degenerate $q$-Bernoulli and $q$-Euler matrices, Dolomites Res. Notes Approx. 17(1) (2024) 63-71. https://doi.org/10.14658/PUPJ-DRNA-2024-1-7

7. A. Granados, A. Portilla, Y. Quintana, E. Tourís. New bounds for variable topological indices and applications, J. Math. Chem.  62(6) (2024), 1435-1453. https://doi.org/10.1007/s10910-024-01593-w

8.  D. Peralta, Y. Quintana, S. A. Wani. Mixed-type hypergeometric Bernoulli-Gegenbauer polynomials, Mathematics 11(18), 3920, (2023). https://doi.org/10.3390/math11183920

9. J. A. Paz Moyado, Y. Quintana, J. M. Rodríguez, J. M. Sigarreta Almira. New reverse Hölder type inequalities and applications, Math. Inequal. Appl.  26(4) (2023), 1021-1038. https://doi.org/10.7153/mia-2023-26-63 

10. M. Zayed, S. A. Wani, Y. Quintana. Properties of multivariate Hermite polynomials in correlation with Frobenius-Euler polynomials,   Mathematics 11(16), 3439, (2023). https://doi.org/10.3390/math11163439 

11. H. Hernández, D. Peralta, Y. Quintana. A look at generalized degenerate Bernoulli and Euler matrices, Mathematics 11(12), 2731, (2023). https://doi.org/10.3390/math11122731

12. W. Carballosa, Y. Quintana, J. M. Rodríguez, J. M. Sigarreta.  Exponential topological indices: optimal inequalities and applications, J. Math. Chem.  (2023). https://doi.org/10.1007/s10910-022-01446-4 

13. Y. Quintana. Generalized mixed type Bernoulli-Gegenbauer polynomials, Kragujevac J. Math.  47(2) (2023), 245-257. https://doi.org/10.46793/KgJMat2302.245Q 

14. P. Bosch, Y. Quintana, J. M. Rodríguez, J. M. Sigarreta. Jensen-type inequalities for m-convex functions, Open Math. 20 (2022), 1-13. https://doi.org/10.1515/math-2022-0061 

15.  S. Albosaily, Y. Quintana, A. Iqbal, W. Khan. Lagrange-based hypergeometric Bernoulli polynomials,   Symmetry 14(6), 1125, (2022).  https://doi.org/10.3390/sym14061125 

16. Y. Quintana,  J. L. Ramírez, V. Sirvent. On generalized  Bernoulli-Barnes polynomials,  Math. Reports,  Vol. 24(74), No. 4 (2022), 617-636.

17. Y. Quintana.  Concerning multivariate Bernstein polynomials and stochastic logic,  Kragujevac J. Math.  49(3) (2025), 465-484.

18. Y. Quintana. Bernstein polynomials and stochastic computing, Revista de Matemática de la Universidad del Atlántico - MATUA 6(2) (2019), 32-49.

19. Y. Quintana,  W. Ramírez, A. Urieles. Generalized Apostol-type polynomial matrix and its algebraic properties, Math. Reports,  Vol. 21(71), No. 2 (2019), 249-264.

20. Y. Quintana, H. Torres-Guzmán. Some relations between the Riemann zeta function and the generalized Bernoulli polynomials of level m, Univers. J. Math. Appl. 2(4) (2019), 188-201. https://doi.org/10.32323/ujma.602178 

21. Y. Quintana,  W. Ramírez, A. Urieles. Euler matrices and their algebraic properties revisited, Appl. Math. Inf. Sci. 14(4) (2020), 583-596. http://dx.doi.org/10.18576/amis/140407 

22. D. Morales, Y. Quintana. Interpolation at critical points of an algebraic polynomial: A review of a result due to C. Davis, Bol. Asoc. Mat. Venez.  25(1-2) (2018), 31-49.

23. Y. Quintana, W. Ramírez, A. Urieles. On an operational matrix method based on generalized Bernoulli polynomials of level m, Calcolo 55(3) (2018), 29 pages. https://doi.org/10.1007/s10092-018-0272-5 

24. Y. Quintana,  A. Urieles. Quadrature formulae of Euler-Maclaurin type based on generalized Euler polynomials of level m, Bull. Comput. Appl. Math. (Bull CompAMa)  6(2) (2018), 43-64.

25. F. Marcellán,  Y. Quintana, J. M. Rodríguez. Weighted Sobolev spaces: Markov-type inequalities and duality, Bull. Math. Sci. 8(2) (2018), 233-256.  https://doi.org/10.1007/s13373-017-0104-y 

26.  Y. Quintana, E. Wagner. Construções com régua e compasso: 2000 anos, Revista do Professor de Matemática  94 (2017), 36-41.

27.   P. Hernández-Llanos, Y. Quintana, A. Urieles. About extensions of generalized Apostol-type polynomials, Results Math.  68(1) (2015), 203-225. https://doi.org/10.1007/s00025-014-0430-2

28. F. Marcellán, M. F. Pérez-Valero, Y. Quintana. Asymptotic behavior of the partial derivatives of Laguerre kernels and some applications, J. Math. Anal. Appl. 421 (2015), 314-328. https://doi.org/10.1016/j.jmaa.2014.07.012

29. S. Hernández, Y. Quintana. Estructuras booleanas y el código genético: algunos comentarios, Revista de Matemática de la Universidad del Atlántico - MATUA 2 (2) (2015), 12-36.

30.  Y. Quintana, J. M. Rodríguez. Measurable diagonalization of positive definite matrices, J.  Approx. Theory  186 (2014), 91-97. https://doi.org/10.1016/j.jat.2014.06.003

31. E. J. Huertas, F. Marcellán, M. F. Pérez-Valero, Y. Quintana. Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime, Appl. Math. Comput. 236 (2014) 260-272. https://doi.org/10.1016/j.amc.2014.03.038 

32.  V. G. Paschoa, D. Pérez, Y. Quintana. On a theorem by Bojanov and Naidenov  applied to families of Gegenbauer-Sobolev polynomials, Commun. Math. Anal. 16(2) (2014),  9-18.

33. F. Marcellán, M. F. Pérez-Valero, Y. Quintana, A. Urieles. Recurrence relations and outer relative asymptotics  of orthogonal polynomials with respect to a discrete Sobolev type  inner product, Bull. Math. Sci.  4(1) (2014) 83-97. https://doi.org/10.1007/s13373-013-0047-x 

34.  E. J. Huertas, F. Marcellán, M. F. Pérez-Valero, Y. Quintana. A Cohen type inequality for Laguerre-Sobolev expansions with a mass point outside their oscillatory regime, Turk. J. Math. 38(6) (2014), 994-1006. https://doi.org/10.3906/mat-1312-2 

35.  F. Marcellán, Y. Quintana,  A. Urieles. On the Pollard decomposition method applied to some Jacobi-Sobolev expansions, Turk. J. Math.  37(6) (2013), 934-948. https://doi.org/10.3906/mat-1208-29 

36. F. Marcellán, Y. Quintana,  A. Urieles. On $W^{1,p}$-convergence of Fourier-Sobolev expansions,  J. Math. Anal. Appl. 398 (2013), 594-599. https://doi.org/10.1016/j.jmaa.2012.09.012 

37. A. Portilla, Y. Quintana, J. M. Rodríguez, E. Tourís. Concerning asymptotic behavior for extremal polynomials associated to non-diagonal Sobolev norms,  J. Funct. Spaces, Article ID 628031, 11 pages, 2013. https://doi.org/10.1155/2013/628031 

38. D. Pérez, Y. Quintana. Some Markov-Bernstein type inequalities and  certain class of Sobolev polynomials,  J. Adv. Math.  Stud.  4  (2011), 85-100.

39.  H. Pijeira, Y. Quintana, J.  M. Rodríguez. Sobolev formal orthogonality on algebraic  curves and extensions of Favard theorem, Jaen J. Approx. 3(2) (2011), 193-207.

40. M. García,  M. Malatesta, Y. Quintana. Sobre formación de Grupos Inteligentes Homogéneos en programas de iniciación universitaria: CIU-USB, SAPIENS Revista Universitaria de Investigación, Año 12, No. 1 (2011), 94-121.

41. Y. Quintana. On Hilbert extensions of Weierstrass' theorem with weights, J. Funct. Spaces, Article ID 645369, 13 pages, 2010. https://doi.org/10.1155/2010/645369  

42. A. Portilla, Y. Quintana, J. M. Rodríguez, E. Tourís. Zero location and asymptotic behavior for extremal polynomials  with non-diagonal Sobolev norms,J. Approx. Theory 162 (2010), 2225-2242. https://doi.org/10.1016/j.jat.2010.07.010 

43.  H. Leiva, Y. Quintana. Interior Controllability of a broad class of reaction diffusion equations, Math. Probl. Eng. vol. 2009, Article ID 708516, 8 pages, 2009.  https://doi.org/10.1155/2009/708516 

44.  D. Peréz, Y. Quintana. A survey on the Weierstrass approximation theorem, Divulgaciones Matemáticas 16(1) (2008) 231-247.

45. J. M. Guevara-Jordán, I. Mannarino, Y. Quintana.  A numerical study of a mimetic scheme for the unsteady heat equation, FARAUTE Ciens. y Tec.  3 (1) (2008), 64-70.

46. J. M. Guevara-Jordán, I. Mannarino, Y. Quintana. A new mimetic scheme of Crank-Nicolson type for diffusion equation, Desarrollo y Avances en Métodos Numéricos para Ingeniería y Ciencias Aplicadas, (2008) 35-40.

47. Y. Quintana. A note on $\alpha$-semi countability and related topics, Int. Math. Forum  2 (2007), 2661--2674. https://doi.org/10.12988/imf.2007.07237 

48. D. Bárcenas, L. Leiva, Y. Quintana, W. Urbina.   Controllability of Laguerre and Jacobi Equations, Int. J. Control  80(8) (2007), 1307-1315. https://doi.org/10.1080/00207170701294581 

49. A. Portilla, Y. Quintana, J. M. Rodríguez, E. Tourís. Weierstrass' Theorem in weighted Sobolev Spaces with first derivatives, J. Math. Anal. Appl. 334 (2007), 1167-1198. https://doi.org/10.1016/j.jmaa.2006.12.066 

50. Y. Quintana, A. Santaella,  M. Torres. Construcción de un modelo de planificación para clases de Aritmética via e-learning e Inteligencias Múltiples, EDUCARE 11 (2007), 118-142.

51. A. Portilla, Y. Quintana, J. M. Rodríguez, E. Tourís. Weierstrass' Theorem in weighted Sobolev spaces with k derivatives, Rocky Mountain J. Math.  37(6) (2007), 1989-2024. https://doi.org/10.1216/rmjm/1199649835 

52. A. Portilla, Y. Quintana, J. M. Rodríguez, E. Tourís. Weierstrass' Theorem in weighted Sobolev spaces with k derivatives: announcement of results, ETNA. Electronic Transactions on Numerical Analysis 24 (2006), 103-107.

53.  F. Dalmagro, Y. Quintana. On the Hurewicz theorem for wedge sum of spheres, Rev. Colomb. Mat.  39(1) (2005), 21-35.

54. A. Portilla, Y. Quintana, J. M. Rodríuez, E. Tourís. Weierstrass' theorem with weights, J. Approx. Theory 127 (2004), 83-103. https://doi.org/10.1016/j.jat.2004.01.003

55.  M. Malatesta, Y. Quintana. Metodologías e implicaciones docentes de la enseñanza: Inteligencias Múltiples, EDUCARE 8(2) (2004), 85-100.

56. H. Pijeira, Y. Quintana, W. Urbina. Zero location and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev, Rev. Colomb. Mat. 35(2) (2001), 8-25.

BOOKS

1. M. Malatesta, Y. Quintana (2006). Inteligencias Múltiples y Enseñanza de Geometría. X Escuela Venezolana para la Enseñanza de la Matemática. Colección Aula. ISBN:980-11-0978-5. Mérida, Venezuela.

2. M. Malatesta, Y. Quintana (2007) Inteligencias Múltiples y Enseñanza de Geometría. 2da. Edición. XI Escuela Venezolana para la Enseñanza de la Matemática. Colección Aula. ISBN: 978-980-11-1078-1. Mérida, Venezuela. 

3. I. López, Y. Quintana (2007). Algunos temas especiales en Teoría de Aproximación. VIII Talleres de Formación Matemática, TForMa. Editoriales Radoca. ISBN: 978-980-11-1100-9. Cumaná, Venezuela.

4. F. Marcellán, Y. Quintana (2009). Polinomios ortogonales no-estándar. Propiedades algebraicas y analíticas. XXII Escuela Venezolana de Matemáticas. Ediciones IVIC. ISBN: 978-980-261-109-6. Caracas, Venezuela.

5. Y. Quintana (2013). Aproximación polinomial y ortogonalidad estándar sobre la recta. Escuela Matemática de América Latina y El Caribe. EMALCA-Colombia 2013. Editorial: Universidad del Atlántico - Uniatlántico. ISBN: 978-958-8742-41-0. Barranquilla, Colombia.

6. Y. Quintana (2015). Teoría de hipergrupos, problemas de Sturm-Liouville y polinomios ortogonales. XXVIII Escuela Venezolana de Matemáticas. Ediciones IVIC. ISBN: 978-980-261-164-5. Caracas, Venezuela.