G. G. Lorentz

4.2k total citations
69 papers, 1.5k citations indexed

About

G. G. Lorentz is a scholar working on Statistics and Probability, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, G. G. Lorentz has authored 69 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Statistics and Probability, 16 papers in Computational Theory and Mathematics and 16 papers in Applied Mathematics. Recurrent topics in G. G. Lorentz's work include Approximation Theory and Sequence Spaces (18 papers), Advanced Numerical Analysis Techniques (13 papers) and Mathematical Approximation and Integration (8 papers). G. G. Lorentz is often cited by papers focused on Approximation Theory and Sequence Spaces (18 papers), Advanced Numerical Analysis Techniques (13 papers) and Mathematical Approximation and Integration (8 papers). G. G. Lorentz collaborates with scholars based in United States, Germany and Canada. G. G. Lorentz's co-authors include Karl Zeller, Albert Wilansky, S. D. Riemenschneider, Tetsuya Shimogaki, Κ. Jetter, Ky Fan, Hubert Berens, Jurian Hoogewerff, Rudolph A. Lorentz and G. van der Veer and has published in prestigious journals such as SIAM Journal on Numerical Analysis, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

G. G. Lorentz

60 papers receiving 1.2k citations

Peers

G. G. Lorentz
Casper Goffman United States
R. P. Boas United States
A. Zygmund United States
John B. Walsh Canada
Mark A. Pinsky United States
D. V. Widder United States
Salomon Bochner United States
C. A. Rogers United Kingdom
Heinz Bauer Germany
P. S. Bullen Canada
Casper Goffman United States
G. G. Lorentz
Citations per year, relative to G. G. Lorentz G. G. Lorentz (= 1×) peers Casper Goffman

Countries citing papers authored by G. G. Lorentz

Since Specialization
Citations

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

Fields of papers citing papers by G. G. Lorentz

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by G. G. Lorentz. 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 G. G. Lorentz. The network helps show where G. G. Lorentz may publish in the future.

Co-authorship network of co-authors of G. G. Lorentz

This figure shows the co-authorship network connecting the top 25 collaborators of G. G. Lorentz. A scholar is included among the top collaborators of G. G. Lorentz 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 G. G. Lorentz. G. G. Lorentz 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.
Kantorovitch, Leonidas & G. G. Lorentz. (2008). Zur allgemeinen Theorie der halbgeordneten Räume. Journal of Approximation Theory. 156(1). 28–51. 2 indexed citations
2.
Lorentz, G. G.. (2002). Mathematics and Politics in the Soviet Union from 1928 to 1953. Journal of Approximation Theory. 116(2). 169–223. 11 indexed citations
3.
Lorentz, G. G.. (1989). Notes on approximation. Journal of Approximation Theory. 56(3). 360–365. 7 indexed citations
4.
Lorentz, G. G.. (1984). Distribution of alternation points in uniform polynomial approximation. Proceedings of the American Mathematical Society. 92(3). 401–403. 13 indexed citations
5.
Lorentz, G. G.. (1980). Independent sets of knots and singularity of interpolation matrices. Journal of Approximation Theory. 30(3). 208–225. 3 indexed citations
6.
Kemperman, J. H. B. & G. G. Lorentz. (1979). Bounds for polynomials with applications. Indagationes Mathematicae (Proceedings). 82(1). 13–26. 9 indexed citations
7.
Lorentz, G. G.. (1977). Coalescence of matrices, regularity and singularity of Birkhoff interpolation problems. Journal of Approximation Theory. 20(2). 178–190. 5 indexed citations
8.
Berens, Hubert & G. G. Lorentz. (1975). Geometric theory of Korovkin sets. Journal of Approximation Theory. 15(3). 161–189. 19 indexed citations
9.
Berens, Hubert & G. G. Lorentz. (1974). Sequences of contractions on L1-spaces. Journal of Functional Analysis. 15(2). 155–165. 9 indexed citations
10.
Lorentz, G. G.. (1972). Birkhoff interpolation and the problem of free matrices. Journal of Approximation Theory. 6(3). 283–290. 16 indexed citations
11.
Lorentz, G. G. & Larry L. Schumaker. (1972). Saturation of positive operators. Journal of Approximation Theory. 5(4). 413–424. 15 indexed citations
12.
Lorentz, G. G. & Karl Zeller. (1970). Monotone approximation by algebraic polynomials. Transactions of the American Mathematical Society. 149(1). 1–18. 43 indexed citations
13.
Lorentz, G. G.. (1968). Derivatives of polynomials with positive coefficients. Journal of Approximation Theory. 1(1). 1–4. 6 indexed citations
14.
Lorentz, G. G. & Tetsuya Shimogaki. (1968). Interpolation theorems for operators in function spaces. Journal of Functional Analysis. 2(1). 31–51. 58 indexed citations
15.
Lorentz, G. G. & Karl Zeller. (1968). Degree of approximation by monotone polynomials I. Journal of Approximation Theory. 1(4). 501–504. 87 indexed citations
16.
Lorentz, G. G.. (1961). Relations between function spaces. Proceedings of the American Mathematical Society. 12(1). 127–132. 38 indexed citations
17.
Lorentz, G. G.. (1960). Lower bounds for the degree of approximation. Transactions of the American Mathematical Society. 97(1). 25–34. 13 indexed citations
18.
Lorentz, G. G.. (1960). Lower Bounds for the Degree of Approximation. Transactions of the American Mathematical Society. 97(1). 25–25. 5 indexed citations
19.
Erdös, P. & G. G. Lorentz. (1959). On the probability that n and g(n) are relatively prime. Acta Arithmetica. 5(1). 35–44.
20.
Lorentz, G. G.. (1954). On a problem of additive number theory. Proceedings of the American Mathematical Society. 5(5). 838–841. 31 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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