I. J. Schoenberg

14.4k total citations · 1 hit paper
115 papers, 4.2k citations indexed

About

I. J. Schoenberg is a scholar working on Applied Mathematics, Computational Mechanics and Numerical Analysis. According to data from OpenAlex, I. J. Schoenberg has authored 115 papers receiving a total of 4.2k indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Applied Mathematics, 33 papers in Computational Mechanics and 25 papers in Numerical Analysis. Recurrent topics in I. J. Schoenberg's work include Advanced Numerical Analysis Techniques (32 papers), Iterative Methods for Nonlinear Equations (21 papers) and Mathematics and Applications (13 papers). I. J. Schoenberg is often cited by papers focused on Advanced Numerical Analysis Techniques (32 papers), Iterative Methods for Nonlinear Equations (21 papers) and Mathematics and Applications (13 papers). I. J. Schoenberg collaborates with scholars based in United States, Canada and France. I. J. Schoenberg's co-authors include T. S. Motzkin, H. B. Curry, Georg Pólya, Anne M. Whitney, A. Sharma, Samuel Karlin, Allan Pinkus, Charles A. Micchelli, Larry L. Schumaker and Donald J. Newman and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of the New York Academy of Sciences and Mathematics of Computation.

In The Last Decade

I. J. Schoenberg

100 papers receiving 3.4k citations

Hit Papers

The Integrability of Certain Functions and Related Summab... 1959 2026 1981 2003 1959 100 200 300 400 500
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. The Integrability of Certain Functions and Related Summability Methods
    1959 564 citations I. J. Schoenberg American Mathematical Monthly profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
I. J. Schoenberg United States 30 1.4k 1.3k 1.2k 1.2k 584 115 4.2k
T. J. Rivlin United States 23 1.7k 1.2× 1.6k 1.2× 607 0.5× 870 0.7× 1.4k 2.4× 71 5.3k
E. W. Cheney United States 22 854 0.6× 1.0k 0.8× 596 0.5× 589 0.5× 985 1.7× 60 3.1k
P. L. Butzer Germany 31 2.6k 1.9× 1.1k 0.8× 1.2k 1.0× 318 0.3× 344 0.6× 202 3.8k
Allan Pinkus Israel 23 934 0.7× 993 0.8× 327 0.3× 745 0.6× 652 1.1× 95 3.6k
G. A. Garreau United Kingdom 2 2.3k 1.6× 424 0.3× 529 0.4× 394 0.3× 1.1k 1.9× 5 5.9k
R. J. Duffin United States 29 1.7k 1.2× 762 0.6× 143 0.1× 466 0.4× 1.4k 2.4× 123 4.7k
Michel Talagrand France 39 1.8k 1.3× 414 0.3× 2.3k 1.9× 611 0.5× 1.2k 2.0× 237 7.4k
Charles A. Micchelli United States 48 1.6k 1.1× 1.2k 0.9× 436 0.4× 3.7k 3.1× 1.7k 2.8× 214 8.6k
Adi Ben-Israel United States 30 870 0.6× 1.9k 1.5× 206 0.2× 454 0.4× 3.3k 5.7× 114 6.1k
T. N. E. Greville United States 17 748 0.5× 1.1k 0.9× 172 0.1× 522 0.4× 2.4k 4.1× 36 5.0k

Countries citing papers authored by I. J. Schoenberg

Since Specialization
Citations

This map shows the geographic impact of I. J. Schoenberg'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 I. J. Schoenberg with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites I. J. Schoenberg more than expected).

Fields of papers citing papers by I. J. Schoenberg

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by I. J. Schoenberg. 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 I. J. Schoenberg. The network helps show where I. J. Schoenberg may publish in the future.

Co-authorship network of co-authors of I. J. Schoenberg

This figure shows the co-authorship network connecting the top 25 collaborators of I. J. Schoenberg. A scholar is included among the top collaborators of I. J. Schoenberg 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 I. J. Schoenberg. I. J. Schoenberg 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.
Goodman, T. N. T., I. J. Schoenberg, & A. Sharma. (1986). Piecewise smooth solutions of some difference-differential equations. Journal of Approximation Theory. 48(3). 262–271.
2.
Schoenberg, I. J., et al.. (1986). Elementary Problems: E3123-E3128. American Mathematical Monthly. 93(1). 59–59. 1 indexed citations
3.
Schoenberg, I. J.. (1986). A Conjectured Analogue of Rolle's Theorem for Polynomials with Real or Complex Coefficients. American Mathematical Monthly. 93(1). 8–13. 14 indexed citations
4.
Schoenberg, I. J.. (1983). Interpolating splines as limits of polynomials. Linear Algebra and its Applications. 52-53. 617–628. 2 indexed citations
5.
Schoenberg, I. J.. (1982). Mathematical Time Exposures. Medical Entomology and Zoology. 35 indexed citations
6.
Schoenberg, I. J.. (1982). Two applications of approximate differentiation formulae: An extremum problem for multiply monotone functions and the differentiation of asymptotic expansions. Journal of Mathematical Analysis and Applications. 89(1). 251–261. 2 indexed citations
7.
Ramsay, Arlan, I. J. Schoenberg, Clark Kimberling, et al.. (1980). Advanced Problems: 6288,6304-6309. American Mathematical Monthly. 87(7). 582–582. 1 indexed citations
8.
Schoenberg, I. J.. (1978). The Landau problem I.. Indagationes Mathematicae (Proceedings). 81(1). 276–286. 2 indexed citations
9.
Schoenberg, I. J.. (1977). The Landau Problem for Motions in a Ring and in Bounded Continua. American Mathematical Monthly. 84(1). 1–12. 1 indexed citations
10.
Schoenberg, I. J., et al.. (1974). On semicardinal quadrature formulae. Mathematics of Computation. 28(126). 483–497. 28 indexed citations
11.
Schoenberg, I. J., et al.. (1974). On Semicardinal Quadrature Formulae. Mathematics of Computation. 28(126). 483–483. 9 indexed citations
12.
Schoenberg, I. J.. (1973). Remarks concerning a numerical inversion of the Laplace transform due to Bellman, Kalaba, and Lockett. Journal of Mathematical Analysis and Applications. 43(3). 823–828. 10 indexed citations
13.
Schoenberg, I. J.. (1972). Notes on spline functions I. The limits of the interpolating periodic spline functions as their degree tends to infinity. Indagationes Mathematicae (Proceedings). 75(5). 412–422. 19 indexed citations
14.
Schoenberg, I. J.. (1969). Approximations with special emphasis on spline functions : proceedings of a symposium conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, May 5-7, 1969. Academic Press eBooks. 1 indexed citations
15.
Schoenberg, I. J.. (1969). Linkages and distance geometry. Indagationes Mathematicae (Proceedings). 72(1). 53–63. 3 indexed citations
16.
Schoenberg, I. J.. (1964). On Best Approximations of Linear Operators. Indagationes Mathematicae (Proceedings). 67. 155–163. 45 indexed citations
17.
Schoenberg, I. J. & Gábor Szegő. (1960). An extremum problem for polynomials. Compositio Mathematica. 14. 260–268. 12 indexed citations
18.
Schoenberg, I. J.. (1958). Some extremal problems for positive definite sequences and related extremal convex conformal maps of the circle. Indagationes Mathematicae (Proceedings). 61. 28–37. 2 indexed citations
19.
Schoenberg, I. J.. (1955). A note on multiply positive sequences and the Descartes rule of signs. Rendiconti del Circolo Matematico di Palermo Series 2. 4(1). 123–131. 5 indexed citations
20.
Schoenberg, I. J. & Anne M. Whitney. (1953). On Polya Frequency Function. III. The Positivity of Translation Determinants With an Application to the Interpolation Problem by Spline Curves. Transactions of the American Mathematical Society. 74(2). 246–246. 21 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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