George G. Lorentz

3.7k total citations · 1 hit paper
10 papers, 2.1k citations indexed

About

George G. Lorentz is a scholar working on Mathematical Physics, Computational Mechanics and Applied Mathematics. According to data from OpenAlex, George G. Lorentz has authored 10 papers receiving a total of 2.1k indexed citations (citations by other indexed papers that have themselves been cited), including 2 papers in Mathematical Physics, 2 papers in Computational Mechanics and 2 papers in Applied Mathematics. Recurrent topics in George G. Lorentz's work include Advanced Banach Space Theory (2 papers), Advanced Harmonic Analysis Research (2 papers) and Iterative Methods for Nonlinear Equations (1 paper). George G. Lorentz is often cited by papers focused on Advanced Banach Space Theory (2 papers), Advanced Harmonic Analysis Research (2 papers) and Iterative Methods for Nonlinear Equations (1 paper). George G. Lorentz collaborates with scholars based in United States and Germany. George G. Lorentz's co-authors include Ronald DeVore, Manfred V. Golitschek, Yuly Makovoz, Tetsuya Shimogaki and Karl Zeller and has published in prestigious journals such as Transactions of the American Mathematical Society, Mathematische Zeitschrift and Tohoku Mathematical Journal.

In The Last Decade

George G. Lorentz

10 papers receiving 1.9k citations

Hit Papers

align trajectories sort by overperformance

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.

Constructive Approximation

1993 1.6k citations Ronald DeVore, George G. Lorentz profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
George G. Lorentz United States	7	1.1k	932	854	421	257	10	2.1k
P. L. Butzer Germany	31	2.6k 2.4×	1.2k 1.3×	1.1k 1.2×	318 0.8×	802 3.1×	202	3.8k
Karl Zeller Germany	19	580 0.5×	534 0.6×	356 0.4×	325 0.8×	330 1.3×	90	1.8k
Z. Ditzian Canada	23	1.7k 1.6×	1.5k 1.6×	1.3k 1.6×	268 0.6×	406 1.6×	126	2.4k
George A. Anastassiou United States	27	1.4k 1.3×	857 0.9×	557 0.7×	120 0.3×	172 0.7×	275	2.7k
D. Leviatan Israel	16	403 0.4×	510 0.5×	479 0.6×	208 0.5×	161 0.6×	126	1.0k
J. L. B. Cooper United States	10	626 0.6×	188 0.2×	309 0.4×	230 0.5×	370 1.4×	23	1.6k
Sorin G. Gal Romania	23	1.5k 1.4×	2.2k 2.3×	670 0.8×	116 0.3×	165 0.6×	175	2.7k
Frank Deutsch United States	23	270 0.2×	226 0.2×	643 0.8×	344 0.8×	435 1.7×	63	1.6k
Alain Pajor France	20	693 0.6×	382 0.4×	123 0.1×	432 1.0×	266 1.0×	51	1.3k
Henryk Woźniakowski Poland	22	774 0.7×	197 0.2×	1.5k 1.8×	406 1.0×	112 0.4×	78	1.9k

Countries citing papers authored by George G. Lorentz

Since Specialization

Citations

This map shows the geographic impact of George 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 George 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 George G. Lorentz more than expected).

Fields of papers citing papers by George G. Lorentz

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

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

This figure shows the co-authorship network connecting the top 25 collaborators of George G. Lorentz. A scholar is included among the top collaborators of George 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 George G. Lorentz. George G. Lorentz is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

10 of 10 papers shown

1.

Lorentz, George G., Manfred V. Golitschek, & Yuly Makovoz. (1996). Constructive approximation : advanced problems. Springer eBooks. 224 indexed citations

2.

Lorentz, George G., Yuly Makovoz, & Manfred V. Golitschek. (1996). Constructive Approximation. 159 indexed citations

3.

DeVore, Ronald & George G. Lorentz. (1993). Constructive Approximation. 1612 indexed citations breakdown →

4.

Lorentz, George G.. (1984). Convergence theorems for polynomials with many zeros. Mathematische Zeitschrift. 186(1). 117–123. 2 indexed citations

5.

Lorentz, George G.. (1977). Problems in approximation theory. Medical Entomology and Zoology. 18 indexed citations

6.

Lorentz, George G.. (1975). Zeros of splines and Birkhoff's kernel. Mathematische Zeitschrift. 142(2). 173–180. 5 indexed citations

7.

Lorentz, George G. & Tetsuya Shimogaki. (1971). Interpolation Theorems for the Pairs of Spaces (L p , L ∞ ) and (L 1 L q ). Transactions of the American Mathematical Society. 159. 207–207. 21 indexed citations

8.

Lorentz, George G. & Tetsuya Shimogaki. (1971). Interpolation theorems for the pairs of spaces (𝐿^{𝑝},𝐿^{∞}) and (𝐿¹,𝐿^{𝑞}). Transactions of the American Mathematical Society. 159(0). 207–221. 31 indexed citations

9.

Lorentz, George G. & Karl Zeller. (1969). Gleichm��ige Approximation durch monotone Polynome. Mathematische Zeitschrift. 109(2). 87–91. 5 indexed citations

10.

Lorentz, George G. & Karl Zeller. (1963). Strong and ordinary summability. Tohoku Mathematical Journal. 15(4). 7 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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