Most cited papers in Approximation Theory and Sequence Spaces
What are the most cited papers in Approximation Theory and Sequence Spaces?
The most cited paper in Approximation Theory and Sequence Spaces is "Convergence of Probability Measures" (James L. Snell, 1970), with 1,379 citations. Next come "Some results on Tchebycheffian spline functions" (1,266) and "On convergence and growth of partial sums of Fourier series" (1,022).
Showing 50 of 100 papers. Every paper with more than 179 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Convergence of Probability Measures James L. Snell · Technometrics | Feb 1970 | 1,379 |
| 2 | Some results on Tchebycheffian spline functions George Kimeldorf, Grace Wahba · Journal of Mathematical Analysis and Applications | 1971 | 1,266 |
| 3 | On convergence and growth of partial sums of Fourier series Lennart Carleson · Acta Mathematica | 1966 | 1,022 |
| 4 | Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence Pu Pao-Ming, Liu Ying-ming · Journal of Mathematical Analysis and Applications | Aug 1980 | 995 |
| 5 | Means of positive linear operators Fumio Kubo, Tsuyoshi Andô · Mathematische Annalen | Oct 1980 | 919 |
| 6 | The Integrability of Certain Functions and Related Summability Methods I. J. Schoenberg · American Mathematical Monthly | May 1959 | 856 |
| 7 | Weak convergence theorems for nonexpansive mappings in Banach spaces Simeon Reich · Journal of Mathematical Analysis and Applications | Feb 1979 | 786 |
| 8 | Inequalities for strongly singular convolution operators Charles Fefferman · Acta Mathematica | 1970 | 646 |
| 9 | Weak Convergence Aad van der Vaart, Jon A. Wellner · Springer series in statistics | 1996 | 619 |
| 10 | Learning Theory Estimates via Integral Operators and Their Approximations Steve Smale, Ding‐Xuan Zhou · Constructive Approximation | 15 Mar 2007 | 581 |
| 11 | A splitting algorithm for dual monotone inclusions involving cocoercive operators Bằng Công Vũ · Advances in Computational Mathematics | 28 Nov 2011 | 565 |
| 12 | Some Approximation Theorems via Statistical Convergence Akif D. Gadjiev, Cihan Orhan · Rocky Mountain Journal of Mathematics | Mar 2002 | 555 |
| 13 | On the subspaces ofL p (p>2) spanned by sequences of independent random variables Haskell P. Rosenthal · Israel Journal of Mathematics | Sep 1970 | 543 |
| 14 | Integral operators in spaces of summable functions M. A. Krasnosel’skii, P. P. Zabreyko, Evgeniy Pustylnik et al. · Journal of Engineering Mathematics | Apr 1976 | 538 |
| 15 | Martingales with values in uniformly convex spaces Gilles Pisier · Israel Journal of Mathematics | Sep 1975 | 505 |
| 16 | A generalization of Hukuhara difference and division for interval and fuzzy arithmetic Luciano Stefanini · Fuzzy Sets and Systems | Jul 2009 | 496 |
| 17 | On orlicz sequence spaces Joram Lindenstrauss, Lior Tzafriri · Israel Journal of Mathematics | Sep 1971 | 493 |
| 18 | Lacunary statistical convergence John A. Fridy, Cihan Orhan · Pacific Journal of Mathematics | Sep 1993 | 488 |
| 19 | Methods and Applications William Arveson · Graduate texts in mathematics | 2002 | 479 |
| 20 | A Characterization of Banach Spaces Containing l 1 Haskell P. Rosenthal · Proceedings of the National Academy of Sciences | Jun 1974 | 478 |
| 21 | On operator ranges Peter Fillmore, J. P. Williams · Advances in Mathematics | Dec 1971 | 477 |
| 22 | Multilinear estimates and fractional integration Carlos E. Kenig, Elias M. Stein · Mathematical Research Letters | 1999 | 456 |
| 23 | Densities and summability Allen R. Freedman, John J. Sember · Pacific Journal of Mathematics | Aug 1981 | 446 |
| 24 | Extrapolation and interpolation of quasi-linear operators on martingales D. L. Burkholder, Richard F. Gundy · Acta Mathematica | 1970 | 442 |
| 25 | A counterexample to the approximation problem in Banach spaces Per Enflo · Acta Mathematica | 1973 | 434 |
| 26 | Some remarks on Banach spaces in which martingale difference sequences are unconditional Jean Bourgain · Arkiv för matematik | Dec 1983 | 432 |
| 27 | A concept of convergence in geodesic spaces W. A. Kirk, Bancha Panyanak · Nonlinear Analysis | 25 Apr 2007 | 427 |
| 28 | Statistical convergence of double sequences Mursaleen, Osama H.H. Edely · Journal of Mathematical Analysis and Applications | 11 Oct 2003 | 399 |
| 29 | On the closedness of the sum of two closed operators Giovanni Dore, Alberto Venni · Mathematische Zeitschrift | Jun 1987 | 399 |
| 30 | Characterization of the subdifferential of some matrix norms George A. Watson · Linear Algebra and its Applications | Jun 1992 | 390 |
| 31 | Probabilistic methods in the geometry of Banach spaces Gilles Pisier · Lecture notes in mathematics | 1986 | 386 |
| 32 | Two definitions of fractional dimension Claude Tricot · Mathematical Proceedings of the Cambridge Philosophical Society | 1982 | 380 |
| 33 | Some Cesàro-Type Summability Spaces Allen R. Freedman, John J. Sember, Marc Raphael · Proceedings of the London Mathematical Society | Nov 1978 | 377 |
| 34 | The Structure of Finitely Generated Shift-Invariant Spaces in L2(Rd) C. Deboor, Ronald DeVore, Arnaud Ch ron · Journal of Functional Analysis | 1994 | 371 |
| 35 | GENERALIZED INVERSE OF A MATRIX AND ITS APPLICATIONS C. Radhakrishna Rao | 31 Dec 1972 | 346 |
| 36 | Convergence theorems for sequences of nonlinear operators in Banach spaces Felix E. Browder · Mathematische Zeitschrift | 1967 | 342 |
| 37 | Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$ M. I. Kadec, Aleksander Pełczyński · Studia Mathematica | 1962 | 338 |
| 38 | Fuzzy topological vector spaces II Athanasios K. Katsaras · Fuzzy Sets and Systems | Feb 1984 | 334 |
| 39 | Embedding problem of fuzzy number space: Part I Wu Congxin, Ming Ma · Fuzzy Sets and Systems | Nov 1991 | 321 |
| 40 | Statistical convergence in topology Giuseppe Di Maio, Ljubiša D. R. Kočinac · Topology and its Applications | 27 Jun 2008 | 317 |
| 41 | A tail inequality for quadratic forms of subgaussian random vectors Daniel Hsu, Sham M. Kakade, Tong Zhang · Electronic Communications in Probability | 2012 | 308 |
| 42 | Besicovitch type maximal operators and applications to fourier analysis Jean Bourgain · Geometric and Functional Analysis | Jun 1991 | 307 |
| 43 | Statistical Convergence of Double Sequences Mohammad Mursaleen, S. A. Mohiuddine | 15 Oct 2013 | 306 |
| 44 | Sequence spaces defined by a modulus Ivor J. Maddox · Mathematical Proceedings of the Cambridge Philosophical Society | Jul 1986 | 300 |
| 45 | Borel summability: Application to the anharmonic oscillator S. Graffi, V. Grecchi, Barry Simon · Physics Letters B | Aug 1970 | 300 |
| 46 | On the Space of Sequences of p-Bounded Variation and Related Matrix Mappings Feyzı Başar, Bi̇lal Altay · Ukrainian Mathematical Journal | 2003 | 291 |
| 47 | Weak convergence of probability measures and random functions in the function space D[0,∞) Torgny Lindvall · Journal of Applied Probability | Mar 1973 | 291 |
| 48 | A Commutativity Theorem for Normal Operators Bent Fuglede · Proceedings of the National Academy of Sciences | 1950 | 289 |
| 49 | FK Spaces in Which the Sequence of Coordinate Vectors is Bounded William H. Ruckle · Canadian Journal of Mathematics | Oct 1973 | 288 |
| 50 | Statistical limit superior and limit inferior John A. Fridy, Cihan Orhan · Proceedings of the American Mathematical Society | Dec 1997 | 283 |
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.