Most cited papers in Mathematical Inequalities and Applications
What are the most cited papers in Mathematical Inequalities and Applications?
The most cited paper in Mathematical Inequalities and Applications is "Robust principal component analysis?" (Emmanuel J. Candès, Xiaodong Li, Yi Ma et al., 2011), with 6,962 citations. Next come "On certain integrals of Lipschitz-Hankel type involving products of bessel functions" (4,401) and "On Nonlinear Fractional Programming" (3,205).
Showing 50 of 100 papers. Every paper with more than 211 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Robust principal component analysis? Emmanuel J. Candès, Xiaodong Li, Yi Ma et al. · Journal of the ACM | May 2011 | 6,962 |
| 2 | On certain integrals of Lipschitz-Hankel type involving products of bessel functions G. Eason, Ben Noble, Ian Naismith Sneddon · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences | 19 Apr 1955 | 4,401 |
| 3 | On Nonlinear Fractional Programming Werner Dinkelbach · Management Science | Mar 1967 | 3,205 |
| 4 | Generalized reduced rank tests using the singular value decomposition Frank R. Kleibergen, Richard Paap · Journal of Econometrics | 5 May 2005 | 2,775 |
| 5 | Rényi Divergence and Kullback-Leibler Divergence Tim van Erven, Peter Harremoës · IEEE Transactions on Information Theory | 19 Jun 2014 | 1,598 |
| 6 | Linear transformations which preserve trace and positive semidefiniteness of operators Andrzej Jamiołkowski · Reports on Mathematical Physics | Dec 1972 | 1,588 |
| 7 | A General Class of Coefficients of Divergence of One Distribution from Another Syed Mustafa Ali, Samuel David Silvey · Journal of the Royal Statistical Society Series B (Statistical Methodology) | 1966 | 1,237 |
| 8 | The Brunn-Minkowski inequality Richard J. Gardner · Bulletin of the American Mathematical Society | 8 Apr 2002 | 940 |
| 9 | Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities Mehmet Zeki Sarıkaya, Erhan Set, Hatice Yaldız et al. · Mathematical and Computer Modelling | 6 Jan 2012 | 936 |
| 10 | Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula Sever S Dragomir, Ravi P. Agarwal · Applied Mathematics Letters | Sep 1998 | 849 |
| 11 | Geometric Means in a Novel Vector Space Structure on Symmetric Positive‐Definite Matrices Vincent Arsigny, Pierre Fillard, Xavier Pennec et al. · SIAM Journal on Matrix Analysis and Applications | 2007 | 835 |
| 12 | User-Friendly Tail Bounds for Sums of Random Matrices Joel A. Tropp · Foundations of Computational Mathematics | Aug 2011 | 713 |
| 13 | A single-parameter generalization of the Gini indices of inequality David J. Donaldson, John A. Weymark · Journal of Economic Theory | Feb 1980 | 632 |
| 14 | Monotone metrics on matrix spaces Dėnes Petz · Linear Algebra and its Applications | Sep 1996 | 611 |
| 15 | A New Projection Method for Variational Inequality Problems Mikhail V. Solodov, Benar Fux Svaiter · SIAM Journal on Control and Optimization | 1999 | 560 |
| 16 | Multinomial logistic regression algorithm Dankmar B�hning · Annals of the Institute of Statistical Mathematics | Mar 1992 | 560 |
| 17 | Discriminating States: The Quantum Chernoff Bound Katrien Audenaert, John Calsamiglia, R. Muñoz-Tapia et al. · Physical Review Letters | 17 Apr 2007 | 541 |
| 18 | Quasi-entropies for finite quantum systems Dėnes Petz · Reports on Mathematical Physics | Feb 1986 | 526 |
| 19 | Decomposing differences in the first moment Myeong‐Su Yun · Economics Letters | 4 Dec 2003 | 516 |
| 20 | On h-convexity Sanja Varošanec · Journal of Mathematical Analysis and Applications | 6 Apr 2006 | 499 |
| 21 | On some inequalities for the gamma and psi functions Horst Alzer · Mathematics of Computation | 1997 | 455 |
| 22 | Best constants in Young's inequality, its converse, and its generalization to more than three functions Herm Jan Brascamp, Élliott H. Lieb · Advances in Mathematics | May 1976 | 427 |
| 23 | Certain fractional q -integrals and q -derivatives Ravi P. Agarwal · Mathematical Proceedings of the Cambridge Philosophical Society | Sep 1969 | 420 |
| 24 | Monotonicity Methods in Hilbert Spaces and Some Applications to Nonlinear Partial Differential Equations Haïm Brézis · Elsevier eBooks | 1971 | 416 |
| 25 | Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space Yair Censor, Aviv Gibali, Simeon Reich · Optimization | 21 Dec 2010 | 408 |
| 26 | On Invex Sets and Preinvex Functions S. R. Mohan, Sarmistha Neogy · Journal of Mathematical Analysis and Applications | Feb 1995 | 406 |
| 27 | On some inequalities for the incomplete gamma function Horst Alzer · Mathematics of Computation | 1997 | 399 |
| 28 | A generalization of Kodaira-Ramanujam's vanishing theorem Yūjirō Kawamata · Mathematische Annalen | Mar 1982 | 391 |
| 29 | Characterization of the subdifferential of some matrix norms George A. Watson · Linear Algebra and its Applications | Jun 1992 | 390 |
| 30 | Regularity and Stability for Convex Multivalued Functions Stephen M. Robinson · Mathematics of Operations Research | May 1976 | 373 |
| 31 | A general rearrangement inequality for multiple integrals Herm Jan Brascamp, Élliott H. Lieb, J. M. Luttinger · Journal of Functional Analysis | Oct 1974 | 367 |
| 32 | The sharp quantitative isoperimetric inequality Nicola Fusco, Francesco Maggi, Aldo M. Pratelli · Annals of Mathematics | Nov 2008 | 367 |
| 33 | Some isoperimetric inequalities and eigenvalue estimates Christopher B. Croke · Annales Scientifiques de l École Normale Supérieure | 1980 | 367 |
| 34 | Extending a theorem of A. M. Liapunov to Hilbert space Richard F. Datko · Journal of Mathematical Analysis and Applications | Dec 1970 | 366 |
| 35 | Series and parallel addition of matrices William N. Anderson, R. J. Duffin · Journal of Mathematical Analysis and Applications | Jun 1969 | 360 |
| 36 | Numerical radius inequalities for Hilbert space operators Fuad Kıttaneh · Studia Mathematica | 2005 | 353 |
| 37 | Strong converse and Stein's lemma in quantum hypothesis testing Hiroshi Nagaoka, Tetsuhiro Ogawa · IEEE Transactions on Information Theory | 2000 | 347 |
| 38 | Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula U.S. Kirmaci · Applied Mathematics and Computation | 17 Feb 2003 | 336 |
| 39 | Some inequalities for information divergence and related measures of discrimination Flemming Topsøe · IEEE Transactions on Information Theory | Jul 2000 | 335 |
| 40 | Riesz potential operators and inverses via fractional centredderivatives Manuel Duarte Ortigueira · International Journal of Mathematics and Mathematical Sciences | 2006 | 332 |
| 41 | Completely monotonic functions Kenneth S. Miller, Stefan Grigor'evich Samko · Integral Transforms and Special Functions | Dec 2001 | 327 |
| 42 | A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix Fuad Kıttaneh · Studia Mathematica | 2003 | 316 |
| 43 | Majorization, doubly stochastic matrices, and comparison of eigenvalues T. Andô · Linear Algebra and its Applications | Jun 1989 | 312 |
| 44 | A tail inequality for quadratic forms of subgaussian random vectors Daniel Hsu, Sham M. Kakade, Tong Zhang · Electronic Communications in Probability | 2012 | 308 |
| 45 | $f$ -Divergence Inequalities Igal Sason, Sergio Verdú · IEEE Transactions on Information Theory | 25 Aug 2016 | 304 |
| 46 | Notes on Some Inequalities for Hilbert Space Operators Fuad Kıttaneh · Publications of the Research Institute for Mathematical Sciences | 30 Apr 1988 | 302 |
| 47 | Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces Zongben Xu, Gary F. Roach · Journal of Mathematical Analysis and Applications | May 1991 | 296 |
| 48 | Expectations and entropy inequalities for finite quantum systems Göran Lindblad · Communications in Mathematical Physics | Jun 1974 | 296 |
| 49 | Hirzebruch's proportionality theorem in the non-compact case D. Mumford · Inventiones mathematicae | Dec 1977 | 290 |
| 50 | A schwarz inequality for positive linear maps on $C^{\ast}$-algebras Man-Duen Choi · Illinois Journal of Mathematics | Dec 1974 | 289 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.