Research

• Hardy’s Inequality On The Circle and On the Line: My Ph.D. thesis topic was about solving a long standing open problem about the best possible generalization of Hardy's inequality. I published several research papers in this topic, and I am so proud to have one published in "Journal of Fourier analysis and its applications". However, the problem was so tough that I almost stopped working in this field! 

• Study Of Farthest Points In Banach Interests Spaces: In this line of research, I started working on the problem "singletoness of uniquely remotal sets", with its related topics. I made some contribution to the field, but again, I stopped this topic since 2015. 

• Inequalities in operators theory: Currently, most of my work lies within this field. I have interest in obtaining new forms and generalized formulas for well known inequalities, both for scalars and matrices/operators.

Accepted papers

• M. A. Ighachane, M. Akkouchi and M. Sababheh, Power inequalities for log-convex functions with applications, Filomat, accepted.

• M. Sababheh, H. R. Moradi, I. . G¨um¨u¸s and S. Furuichi, A Note on Kantorovich and Ando Inequalities, Filomat, accepted.

• H. Moradi, S. Furuichi and M. Sababheh, Operator spectral geometric versus geometric mean, Linear and multilinear algebra, accepted.

• F. Kittaneh, H. R. Moradi, and M. Sababheh, Sharper bounds for the numerical radius, Linear and multilinear algebra, accepted.

• H. Moradi, S. Furuichi and M. Sababheh, On Symmetrized and Wright convexity, Filomat, accepted.

• M. Bakherad, M. Hajmohamadi, Lashkaripour and M. Sababheh, Some estimates for the generalized numerical radius, The Journal of Analysis, accepted.

• I. G¨um¨u¸s, H. R. Moradi and M. Sababheh, Operator inequalities via accretive transforms, Hacettepe Journal of Mathematics and Statistics, accepted.

• M. Sababheh, S. Sheybani and H. R. Moradi, —Matrix Fej´er and Levin-Steˇckin inequalities, Kragujevac Journal of Mathematics, accepted.

• M. Sababheh, s. Furuichi and H. R. Moradi, Improved matrix inequalities using radical convexity, Journal of Mathematical inequalities, accepted.

• M. Sababheh, Cristian Conde and Hamid Reza Moradi,  On the matrix Cauchy-Schwarz  inequality, Operators and Matrices, accepted.

Publications in 2023

• C. Conde, N. Minculete, H. R. Moradi and M. Sababheh, Norm inequalities via convex and log-convex functions, Mediterranean Journal of Mathematics, (2023)

20:6. https://doi.org/10.1007/s00009-022-02214-z

• M. Sababheh, H. R. Moradi , and I. G¨um¨u¸s Further Inequalities for convex functions, Bulletin of the Malaysian mathematical society, (2023) 46:42.

https://doi.org/10.1007/s40840-022-01438-2

• Shiva Sheybani, M. Sababheh and Hamid Reza Moradi, Weighted Inequalities For The Numerical Radius, Vietnam Journal of Mathematics, 51(2) (2023), 363–377.

Publications in 2022

• I. H. G¨um¨u¸s, H. R. Moradi and M. Sababheh, On positive and positive partial transpose matrices, Electronic journal of linear algebra, 38 (November 2022), 792-

802. https://doi.org/10.13001/ela.2022.7333

• S. A. Sammour, F. Kittaneh and M. Sababheh, A geometric approach to numerical radius inequalities, Linear Algebra and Its Applications, 652 (2022), 1-17.

• Hamid Reza Moradi, Shigeru Furuichi and M. Sababheh, Some operator inequalities via convexity, Linear and multilinear algebra, 2022.

• A. Ghazanfari and M. Sababheh,Norm inequalities for Heinz and Heron means via contractive maps, International journal of Mathematics, 2022.

• M. Sababheh, H. R. Moradi and Z. Heydarbeygi, Buzano, Kre˘ın and CauchySchwarz inequalities, Operators and Matrices, 16(1) (March 2022), 239–250.

• Z. Heydarbeygi, M. Sababheh and H. R. Moradi, A convex treatment of numerical radius inequalities, Czechoslovak Mathematical Journal, 72(147) (June 2022), 601– 614.

• M. Sababheh, S. Furuichi, S. Sheybani and H. R. Moradi, Singular values inequalities for matrix means, Journal of Mathematical inequalities, 16(1) (March 2022),

169-179.

• A. Ghazanfari and M. Sababheh, Matrix inequalities via Bernstein functions, Annals of functional analysis, (April 2022), 13: 30 . https://doi.org/10.1007/s43034-

022-00175-8.

• M. Kian and M. Sababheh, Majorization inequalities via convex functions, Electronic Journal of Linear Algebra, 38 (February 2022), 179-194.

•  Y. Bedrani, F. Kittaneh and M. Sababheh, Accretive matrices and matrix convex functions, Results in Mathematics, (2022), 77: 52 . https://doi.org/10.1007/s00025-

021-01590-4

• M. Sababheh and H. Moradi, Ando-Hiai and Golden-Thompson inequalities , RACSAM 116(12) (January 2022). https://doi.org/10.1007/s13398-021-01140-1

• A. Sheikhhosseini, M. Khosravi and M. Sababheh, The weighted numerical radius , Annals of functional analysis, (January 2022), 13: 3. https://doi.org/10.1007/s43034-021-00148-3.

Publications in 2021

• H. Moradi and M. Sababheh, New estimates for the numerical radius, Filomat, 35(14)(November 2021).

• G. Karamali, H. R. Moradi and M. Sababheh, More About operator order preserving, Rocky mountain J. Math., 51(5)(2021), 1691-1699.

• S. Sahoo and M. Sababheh, Hilbert-Schmidt numerical radius of block operators, Filomat, 35(8)(October 2021).

• Hamid Reza Moradi, M. Sababheh and Shigeru Furuichi, On The Operator HermiteHadamard Inequality, Complex Analysis and operator theory, 15, article no. 122

(October 2021).

•  H. R. Moradi, S. Furuichi, Z. Heydarbeygi and M. Sababheh, Revisiting the Gr¨uss inequality, Operators and Matrices, 15(4) (December 2021), 1379–1392.

• M. Sababheh, S. Furuichi, Z. Heydarbeygi, and H. R. Moradi, On the arithmeticgeometric mean inequality, Journal of Mathematical inequalities, 15(3) (September

2021), 1255–1266.

• M. Sababheh, S. Furuichi and H. Moradi, Composite Convex Functions, Journal of Mathematical inequalities, 15(3) (September 2021), 1267–1285.

• M. Sababheh and H. R. Moradi, Separated spectra and operator inequalities, Hacettepe Journal of Mathematics and Statistics, 50(4) (August 2021), 982-990.

• Y. Bedrani, F. Kittaneh and M. Sababheh, From positive to accretive matrices, Positivity, 25 (May 2021), 1601-1629. Doi: 10.1007/s11117-021-00831-8

• H. Moradi, S. Furuichi and M. Sababheh, A sharper bound for the Jensen’s operator inequality, Journal of nonlinear and convex analysis, 22(4)(May 2021), 747-757.

•  M. Sababheh and H. R. Moradi, Radical convex functions, Mediterranean Journal of Mathematics, 18, 137 (May 2021). https://doi.org/10.1007/s00009-021-01784-8.

• S. Furuichi, H. R. Moradi and M. Sababheh, New inequalities for interpolational operator means, Journal of Mathematical inequalities, 15(1)(March 2021), 107-116.

• Y. Bedrani, F. Kittaneh and M. Sababheh, On the weighted geometric mean of accretive matrices, Annals of functional analysis, 12(1)(January 2021), Article No.

2.

• Y. Bedrani, F. Kittaneh and M. Sababheh, Numerical radii of accretive matrices, Linear and multilinear algebra, 2021, 69(5), pp. 957–970.

• S. Sahoo, N. Rout, M. Sababheh, Some extended numerical radius inequalities, Linear and multilinear algebra, 2021, 69(5), pp. 907–920.

• M. Sababheh, H. R. Moradi, More accurate numerical radius inequalities (I), Linear and multilinear algebra, 69(10)(August 2021), 1964-1973.

• H. R. Moradi, M. Sababheh, More accurate numerical radius inequalities II, Linear and multilinear algebra, 69(5) (March 2021), pp. 921–933.

Publications in 2020

• I. Gumus, H. R. Moradi and M. Sababheh, Further subadditive matrix inequalities, Mathematical inequalities and applications, 23(3) (July 2020), 1127-1134.

• T. H. Dinh, H. R. Moradi and M. Sababheh, On the P´olya-Szeg¨o operator inequality, Hacettepe Journal of Mathematics and Statistics, 49 (5) (2020), 1744 – 1752.

• M. Sababheh, H. R. Moradi, I. Gumus, Some new operator inequalities, Operators and Matrices, 14(1)(Jan. 2020), 105-115.

•  M. Alakhrass, M. Sababheh, Lieb Functions and Sectorial Matrices, Linear Algebra and Its Applications, 586(Feb. 2020), 308-324.

• M. Sababheh, H. R. Moradi and S. Furuichi, Reversing Bellman operator inequality, Journal of Mathematical inequalities, 14(2) (2020), 577–584.

• M. Alakhrass, M. Sababheh, Functional inequalities for positive matrices, Linear and multilinear algebra, 2020, 68(12), pp. 2462–2472.

•  Hamid Reza Moradi, Zahra Heydarbeygi, M. Sababheh, Subadditive inequalities for operators, Mathematical inequalities and applications, 23(1) (Jan. 2020), 317- 327.

• M. Sababheh, H. R. Moradi and S. Furuichi, Integrals refining convex inequalities, Bulletin of the Malaysian Mathematical Sciences Society, 43(3) (May 2020), 2817- 2833.

Publications in 2019

•   H. R. Moradi, M. Sababheh,  Eigenvalue inequalities for n-tuple of matrices, Linear and multilinear algebra, accepted.

•  M. Sababheh, H. R. Moradi,  More accurate  numerical radius inequalities (I), Linear and multilinear algebra, accepted.

• \item {\bf M. Sababheh}, H. R. Moradi and Zahra Heydarbeygi, New inequalities for  the generalized Karcher mean, Linear Algebra and Its Applications, 580 (Nov. 2019), 184-199.

• M. Sababheh and Abdelrahman Yousef, The interpolation of Young’s inequality using dyadics, Journal of inequalities and applications 2019: 140.

https://doi.org/10.1186/s13660-019-2093-8

• M. Sababheh, H. Moradi, S. Furuichi, Operator inequalities via geometric convexity, Mathematical inequalities and applications, 22(4) (Oct. 2019), 1215-1231.

• M. Alakhrass, {\bf M. Sababheh}, Matrix mixed mean inequalities, Results in Mathematics, (2019) 74:2.

• S. Furichi, H. Moradi, M. Sababheh, New sharp inequalities for operator means}, Linear and multilinear algebra,  67(2019), 1567--1578. https://doi.org/10.1080/03081087.2018.1461189.

• M. Sababheh,  Heinz-type numerical radii inequalities, Linear and multilinear algebra, 2019, 67(5), 953–964. doi.: 10.1080/03081087.2018.1440518.

Publications in 2018

• M. Sababheh, Numerical radius inequalities via convexity, Linear Algebra and Its Applications 549 (2018), 67-–78.

• F. Kittaneh, M. S. Moslehian and M. Sababheh, Quadratic interpolation of the Heinz means, Mathematical Inequalities and Applications (MIA), 21 (3) (2018),739-–757.

• M. Sababheh, On the matrix harmonic mean, Journal of Mathematical Inequalities, 12(4) (2018), 901–920.

• M. Sababheh, Extrapolation of convex functions, FILOMAT, 32:1 (2018), 127-–139.

• M. Sababheh, Means refinements via convexity, Mediterranean Journal of Mathematics, accepted.

Publication in 2017

• M. Sababheh, Graph indices via the AM-GM inequality, Discrete and applied mathematics, 230(4) (2017), 100-111.

• M. Sababheh, Piecewise quadratic interpolation and applications to the Young inequality, Results in Mathematics, 72 (2017), 1315-1328.

• M. Sababheh, Quadratic refinements of matrix means, Stud. Univ. Babe ̧s-Bolyai Math., 62 (2017), 413-426.

• Y. Kapil, C. Conde, M.S. Moslehian, M. Singh, M. Sababheh, Norm inequalities related to the Heron and Heinz means, Mediterranean Journal of Mathematics, 14:213 (2017).

• F. Kittaneh, M. S. Moslehian and M. Sababheh, Unitarily invariant norm inequalities for elementary operators involving G1 operators, Linear Algebra and Its Applications, 513 (2017), 84–95.

• M. Sababheh, Improved Jensen’s inequality, Mathematical Inequalities and Applications (MIA), 20 (2017), no. 2, 389-403.

• M. Sababheh and M. Sal Moslehian, Advanced refinements of Young and Heinz inequalities, Journal of Number Theory, 172 (2017), 178–199.

• D. Choi and M. Sababheh, Inequalities related to the arithmetic, geometric and harmonic means, Journal of Mathematical Inequalities, 11 (2017), 1-16.

• M. Sababheh, A. Yousef, R. Khalil, Uniquely remotal sets in Banach spaces, FILO- MAT, 31:9 (2017), 3773-3777.

• M. Sababheh, Convex functions and means of matrices, Mathematical Inequalities and Applications (MIA), 20 (2017), no. 1, 29–47.

Publications of 2016

• M. Sababheh, Convexity and matrix means, Linear Algebra and Its Applications 506 (2016), 588–602. DOI: 10.1016/j.laa.2016.06.027

• M. Sababheh, D. Choi, A complete refinement of Young’s inequality, Journal of Mathematical Analysis and Applications, 440 (2016) no.1, 379-393. DOI: 10.1016/j.jmaa.2016.03.049.

• M. Sababheh, Log and Harmonically log-convex functions related to matrix norms, Operators and Matrices, 10 (2016) no. 2, 453–465.

• M. Sababheh, Integral Inequalities of the Heinz Means as Convex Functions, Journal of Mathematical Inequalities, 10 (2016) no.2, 313–325.

Publications of 2015

• M. Sababheh, Interpolated Inequalities for Unitarily Invariant Norms, Linear Algebra and its Applications, 475 (2015) 240–250. doi:10.1016/j.laa.2015.02.026.

• M. Sababheh, Yousef, A. and Khalil, R., Interpolated Young and Heinz Inequalities, Linear and Multilinear Algebra, 63 (2015) no.11, 2232–2244. DOI: 10.1080/03081087.2014.1000816.

• M. Sababheh, Hardy-Type Inequalities for Functions Whose Fourier Transforms Have Gaps, Journal of Contemporary Mathematical Analysis, 50 (2015) no.5, 246–252. DOI:10.3103/S1068362315050052.

• A. Yousef, M. Sababheh, R. Khalil, Operator-Norm Inequalities and Interpolated Trace Inequalities, Linear and Multilinear Algebra, 63 (2015), no. 3, 455–465.

• M. Sababheh, Yousef, A. and Khalil, R., On The Invariant Subspace Problem, Bulletin of the Malaysian Mathematical Sciences Society, 2015, DOI 10.1007/s40840-015-0135-z.

Publications of 2014

• R. Khalil, M. Al Horani, A. Yousef and M. Sababheh, A New Definition of Fractional Derivative, Journal of Computational and Applied Mathematics, 264 (2014) 65–70.

• R. Khalil, S. Hayajneh, M. Hayajneh, M. Sababheh, Remotality of exposed points, Journal of Concrete and Applied Mathematics, VOL. 12, NO.’S 1-2, 94–101, 2014.

• M. Sababheh and Khalil, R., New Results On Remotality In Banach Spaces, Italian Journal of Pure and Applied Mathematics, No. 30, 2013, pp. 59–66.

• M. Sababheh and Khalil, R., Proximinality in Operator Spaces, Scientiae Mathematicae Japonicae, e-2012, 249–257.

• M. Sababheh, Hardy’s Inequality and Bounded Linear Functionals, Dirasat, Vol.(38), No.(2)2011, pp. 115–121.

• M. Sababheh and Khalil, R., Remotal Points and a Krein-Milman Type Theorem, Journal of Nonlinear and Convex Analysis, Vol.(12), Number 1, 2011, pp.5-15.

• Khalil, R. and M. Sababheh, A Study of Uniquely Remotal Sets, Journal of Computational Analysis and Applications, Vol.(13), No. 7, 2011, pp. 1233–1239.

• M. Sababheh, Hardy Inequalities On The Real Line, Canadian Mathematical Bulletin, Vol. (54) (1), 2011, pp. 159–171 .

• M. Sababheh, A Study Of The Real Hardy Inequality, Journal Of Inequalities In Pure And Applied Mathematics, Vol.(10) 2009, Issue 4, Article 104.

• M. Sababheh and Khalil, R., Remarks On Remotal Sets In Vector Valued Function Spaces, The Journal Of Nonlinear Science And Its Applications, Vol.(2)(2009), Issue 1, pp. 1–10.

• M. Sababheh and Khalil, R., Remotality Of Closed Bounded Convex Sets In Reflexive Spaces, Numerical Functional Analysis And Optimization (29)(09-10), 2008, pp. 1166–1170.

• M. Sababheh, Hardy-Type Inequalities On The Real Line, Journal Of Inequalities In Pure And Applied Mathematics, Vol.(9) 2008, Issue 2, Article 72.

• M. Sababheh, On An Argument Of Korner And Hardy’s Inequality, Analysis Mathematica, Vol.(34) 2008, pp.51–57.

• M. Sababheh, Two-Sided Probabilistic Versions Of Hardy’s Inequality, Journal Of Fourier Analysis And Applications, 2007, pp. 577–587.

• M. Sababheh, Nusayr, A. and Al-Khaled K., Some Convergence Results On Sinc Interpolation, Journal Of Inequalities In Pure And Applied Mathematics, Vol.(4) 2003, Issue 2, Article 32.

• More accurate numerical radius inequalities, Princess Sumaya University for technology, March 2020.

• Recent advances in some numerical and operator inequalities, Princess Sumaya University for Technology, March 2019.

• Recent advances in Some Operator Inequalities: From the scalar version to the operator version, Khalifa University, December 2018.

• Recent progress in some operator-related inequalities, University of Jordan, November 2018.

• Recent refinements of means inequalities,University of Sharjah, May 2016.

• How much further the Young inequality can be refined, American University of Sharjah, April 2016.

• The recent refinements of Young’s inequality, Qatar University, April 2016.

• Young’s inequality revisited, 14th annual UAE Math day, March 2016, New York University, Abu Dhabi.

• The Idea of the New Interpolation of Young’s Inequality, University of Sharjah , March 2015.

• The continuous Hardy inequality, 13th annual UAE Math day, March 2015, Sorbonne University, Abu Dhabi.

• Hardy-Type Inequalities, 12th annual Math day, April 2014, American University of Dubai.

• Singletoness of remotal sets, Analysis Seminar, Sharjah University. October 2013, Sharjah, UAE.

• Remotality in normed linear spaces, Analysis Seminar, Jordan University. February 2008, Amman, Jordan.

• On Hardy’s inequality. Analysis Seminar, Jordan University. November 2006, Amman, Jordan.

• Constructive proofs of Hardy-type inequalities, Analysis Seminars, McGill and Concordia Universities. February 2006, Montreal, Canada.

• An ovwerview of PSUT, September 2020, September 2021, September 2022.

• PSUT regulations, September 2019, September 2020.

• Scientific research; regulations overview, PSUT, September 2018.

• Soft Archiving, University of Sharjah , May 2015.

• More Accurate Numerical Radius Inequalities (II), The Third International Conference on Mathematics and Statistics AUSICMS ‘20, American University in Sharjah,UAE, 6-9 February, 2020.

• Promoting and sustaining a research culture: Best practices to achieving excellence in research, QS-Maple 2019, UAE, April 2019.

• A Hardy-type inequality for functions whose Fourier coefficients obey a certain rotation condition, International conference on theory and applications of Mathematics and Informatics, September 2015, Alba Lulia, Romania.

• Some remarks on the best generalization of Hardy’s inequality, The third international conference on computer engineering and mathematical sciences, December 2014, Langkawi, Malaysia.

• Remotal and uniquely remotal sets, International conference: Mathematical science and applications, Abu Dhabi university. December 2013, Abu Dhabi, UAE.

• A Hardy inequality, The Second Conference on Mathematical Sciences, Zarqa University. November 2008, Zarqa, Jordan.

• Reviewer for the American Mathematical Society. 

• Reviewer for ZbMath. 

• Editor/ Reviewer for ”IWMST-2016, International Workshop on Mathematics and Statistics”, May 2016, Turkey.

• Reviewer for several journals: Communications in Mathematical Analysis.

•  Jordan Journal of Mathematics and Statistics. 

• Journal of Mathematical Inequalities. 

• Operators and Matrices. 

• Applications and Applied Mathematics. 

• Journal of Inequalities and Applications. 

• Bulletin of the Malaysian Mathematical society. 

• Functional Analysis, Approximation and Computation. 

• Applied Mathematics: a Journal of Chinese Universities. 

• Journal of Inequalities and Special Functions. 

• Linear and Multilinear algebra. 

• Journal of Mathematical Analysis. 

•  Fasciculi Mathematici.

•  International Journal of Automation and Control. 

• Filomat. 

• Rocky mountain journal of Mathematics.

•  Journal of Mathematical and Statistical Analysis. 

• Chaos, Solitons and Fractals. 

• Applicable Analysis and Discrete Mathematics. 

• Advances in Difference Equations. 

• Kragujevac Journal of Mathematics. 

• International Journal of Engineering Mathematics and Physics. 

• Journal of function spaces. 

• Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A.  Matematicas.

•  Taiwanese J. Math. 

• Mathematical inequalities and applications.

•  Honam Mathematical journal. 

• Book series: Operator Theory: Advances and Applications. 

• AIMS Mathematics. 

• Journal of Mathematical extension.

•  Bolet´ın de la Sociedad Matem´atica Mexicana.

•  Problemy Analiza - Issues of Analysis. 

• Ukrainian Mathematical Journal.

• Mathematica Slovaca. 

• The journal of analysis. 

• Montes Taurus Journal of Pure and Applied Mathematics.

• Open Mathematics. 

• Advances in operator theory.

• Moroccan Journal of Pure and Applied Analysis. 

• ScienceAsia. 

• Journal of Mathematics. 

• Applied Mathematics and Computation. 

• Results in Mathematics. 

• Acta Scientiarum Mathematicarum. 

• Fractal and Fractional.

•  Bulletin of the Iranian Mathematical Society. 

• Journal of Mathematical Analysis and Applications. 

• Tatra mountains mathematical publications.