Hubert Berens

2.3k total citations · 1 hit paper
47 papers, 1.4k citations indexed

About

Hubert Berens is a scholar working on Applied Mathematics, Statistics and Probability and Numerical Analysis. According to data from OpenAlex, Hubert Berens has authored 47 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Applied Mathematics, 13 papers in Statistics and Probability and 10 papers in Numerical Analysis. Recurrent topics in Hubert Berens's work include Approximation Theory and Sequence Spaces (13 papers), Mathematical functions and polynomials (8 papers) and Advanced Harmonic Analysis Research (7 papers). Hubert Berens is often cited by papers focused on Approximation Theory and Sequence Spaces (13 papers), Mathematical functions and polynomials (8 papers) and Advanced Harmonic Analysis Research (7 papers). Hubert Berens collaborates with scholars based in Germany, United States and China. Hubert Berens's co-authors include Yuan Xu, P. L. Butzer, Hans Schmid, G. G. Lorentz, Walter Benz, Ronald DeVore, Luoqing Li, P. O. Schwille, G. Rümenapf and U. Westphal and has published in prestigious journals such as Lecture notes in mathematics, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Hubert Berens

44 papers receiving 1.1k citations

Hit Papers

Semi-Groups of Operators and Approximation 1967 2026 1986 2006 1967 250 500 750
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Semi-Groups of Operators and Approximation
    1967 758 citations Hubert Berens et al. CERN Document Server (European Organization for Nuclear Research) profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Hubert Berens Germany 15 833 493 379 332 329 47 1.4k
S. G. Kreĭn Ukraine 13 1.0k 1.2× 921 1.9× 187 0.5× 337 1.0× 218 0.7× 35 1.5k
Harold S. Shapiro Sweden 18 709 0.9× 351 0.7× 172 0.5× 243 0.7× 161 0.5× 66 1.3k
A. Zygmund United States 16 1.6k 1.9× 803 1.6× 186 0.5× 354 1.1× 314 1.0× 26 2.1k
Karl Zeller Germany 19 580 0.7× 330 0.7× 534 1.4× 340 1.0× 356 1.1× 90 1.8k
Julian Musielak Poland 7 1.4k 1.7× 814 1.7× 588 1.6× 703 2.1× 242 0.7× 34 1.9k
Jürgen Appell Germany 12 656 0.8× 365 0.7× 138 0.4× 292 0.9× 165 0.5× 56 978
Michel Valadier France 12 1.1k 1.3× 506 1.0× 344 0.9× 985 3.0× 229 0.7× 26 2.1k
Frank Deutsch United States 23 270 0.3× 435 0.9× 226 0.6× 955 2.9× 643 2.0× 63 1.6k
Michael Ćwikel Israel 20 848 1.0× 688 1.4× 124 0.3× 194 0.6× 112 0.3× 64 1.4k
A. P. Calderón United States 20 2.9k 3.4× 1.7k 3.5× 141 0.4× 602 1.8× 342 1.0× 34 3.4k

Countries citing papers authored by Hubert Berens

Since Specialization
Citations

This map shows the geographic impact of Hubert Berens's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Hubert Berens with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Hubert Berens more than expected).

Fields of papers citing papers by Hubert Berens

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Hubert Berens. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Hubert Berens. The network helps show where Hubert Berens may publish in the future.

Co-authorship network of co-authors of Hubert Berens

This figure shows the co-authorship network connecting the top 25 collaborators of Hubert Berens. A scholar is included among the top collaborators of Hubert Berens based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Hubert Berens. Hubert Berens is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Арестов, В. В., et al.. (2003). On pointwise Turán's problem for positive definite functions. East journal on approximations. 9(1). 31–42. 6 indexed citations
2.
Berens, Hubert, Zhongkai Li, & Yuan Xu. (2001). On l-1 riesz summability of the inverse Fourier integral. Indagationes Mathematicae. 12(1). 41–53. 11 indexed citations
3.
Alimov, A. R. & Hubert Berens. (1999). Examples of Chebyshev Sets in Matrix Spaces. Journal of Approximation Theory. 99(1). 44–53. 6 indexed citations
4.
Berens, Hubert & Wolfgang zu Castell. (1998). Hypergeometric functions as a tool for summability of the Fourier integral. Results in Mathematics. 34(1-2). 69–84. 7 indexed citations
5.
Berens, Hubert, et al.. (1997). Hoffman's Error Bounds and Uniform Lipschitz Continuity of Bestlp-Approximations. Journal of Mathematical Analysis and Applications. 213(1). 183–201. 2 indexed citations
6.
Berens, Hubert & Yuan Xu. (1996). Fejér means for multivariate fourier series. Mathematische Zeitschrift. 221(1). 449–465. 1 indexed citations
7.
Berens, Hubert, Hans Schmid, & Yuan Xu. (1995). Multivariate Gaussian cubature formulae. Archiv der Mathematik. 64(1). 26–32. 30 indexed citations
8.
Berens, Hubert & Luoqing Li. (1993). On the de la Vallée-Poussin Means on the Sphere. Results in Mathematics. 24(1-2). 12–26. 12 indexed citations
9.
Berens, Hubert, Hans Schmid, & Yuan Xu. (1992). Bernstein-Durrmeyer polynomials on a simplex. Journal of Approximation Theory. 68(3). 247–261. 26 indexed citations
10.
Berens, Hubert & Yuan Xu. (1991). K-moduli, moduli of smoothness, and Bernstein polynomials on a simplex. Indagationes Mathematicae. 2(4). 411–421. 21 indexed citations
11.
Schwille, P. O., et al.. (1989). Oxalate Measurement in the Picomol Range by Ion Chromatography: Values in Fasting Plasma and Urine of Controls and Patients with Idiopathic Calcium Urolithiasis. Clinical Chemistry and Laboratory Medicine (CCLM). 27(2). 87–96. 26 indexed citations
12.
Berens, Hubert, et al.. (1986). Eine beschreibung der nichteindeutigkeitsmenge für die beste approximation in der Euklidischen ebene. Journal of Approximation Theory. 47(1). 54–74. 8 indexed citations
13.
Berens, Hubert & G. G. Lorentz. (1975). Geometric theory of Korovkin sets. Journal of Approximation Theory. 15(3). 161–189. 19 indexed citations
14.
Berens, Hubert & G. G. Lorentz. (1974). Sequences of contractions on L1-spaces. Journal of Functional Analysis. 15(2). 155–165. 9 indexed citations
15.
Berens, Hubert. (1972). Pointwise saturation of positive operators. Journal of Approximation Theory. 6(2). 135–146. 5 indexed citations
16.
Berens, Hubert & R. J. Nessel. (1968). Contributions to the Theory of Saturation for Singular Integrals in Several Variables. IV. Indagationes Mathematicae (Proceedings). 71. 325–335. 4 indexed citations
17.
Berens, Hubert, et al.. (1967). Semi-Groups of Operators and Approximation. CERN Document Server (European Organization for Nuclear Research). 758 indexed citations breakdown →
18.
Berens, Hubert & P. L. Butzer. (1966). Über die Stetigkeit von Halbgruppen von Operatoren in intermediären Räumen. Mathematische Annalen. 163(3). 204–211. 2 indexed citations
19.
Berens, Hubert. (1965). Equivalent Representations for the Infinitesimal Generator of Higher Orders in Semi-group Theory. Indagationes Mathematicae (Proceedings). 68. 497–512. 9 indexed citations
20.
Berens, Hubert & P. L. Butzer. (1964). Approximation theorems for semi-group operators in intermediate spaces. Bulletin of the American Mathematical Society. 70(5). 689–692. 11 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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