Z. Ditzian

3.5k total citations · 1 hit paper
126 papers, 2.4k citations indexed

About

Z. Ditzian is a scholar working on Applied Mathematics, Numerical Analysis and Statistics and Probability. According to data from OpenAlex, Z. Ditzian has authored 126 papers receiving a total of 2.4k indexed citations (citations by other indexed papers that have themselves been cited), including 92 papers in Applied Mathematics, 64 papers in Numerical Analysis and 49 papers in Statistics and Probability. Recurrent topics in Z. Ditzian's work include Mathematical Approximation and Integration (53 papers), Approximation Theory and Sequence Spaces (49 papers) and Mathematical functions and polynomials (38 papers). Z. Ditzian is often cited by papers focused on Mathematical Approximation and Integration (53 papers), Approximation Theory and Sequence Spaces (49 papers) and Mathematical functions and polynomials (38 papers). Z. Ditzian collaborates with scholars based in Canada, Israel and Bulgaria. Z. Ditzian's co-authors include Вилмос Тотик, Kamen G. Ivanov, Feng Dai, Sergey Tikhonov, Depeng Jiang, W. Chen, D. S. Lubinsky, Xinlong Zhou, D. Leviatan and A. Jakimovski and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and SIAM Journal on Applied Mathematics.

In The Last Decade

Z. Ditzian

113 papers receiving 2.0k citations

Hit Papers

Moduli of Smoothness 1987 2026 2000 2013 1987 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. Moduli of Smoothness
    1987 819 citations Z. Ditzian, Вилмос Тотик profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Z. Ditzian Canada 23 1.7k 1.5k 1.3k 406 268 126 2.4k
Carlo Bardaro Italy 23 1.1k 0.7× 1.2k 0.8× 701 0.5× 182 0.4× 94 0.4× 100 1.7k
Hubert Berens Germany 15 833 0.5× 379 0.3× 329 0.2× 493 1.2× 156 0.6× 47 1.4k
Sorin G. Gal Romania 23 1.5k 0.9× 2.2k 1.4× 670 0.5× 165 0.4× 116 0.4× 175 2.7k
S. A. Mohiuddine Saudi Arabia 34 2.2k 1.3× 3.1k 2.0× 2.0k 1.5× 541 1.3× 124 0.5× 178 3.8k
Marko Antonio Rojas-Medar Chile 20 1.1k 0.6× 291 0.2× 256 0.2× 651 1.6× 317 1.2× 151 1.9k
G. Mastroianni Italy 23 1.4k 0.8× 370 0.2× 1.0k 0.8× 181 0.4× 207 0.8× 153 1.9k
D. Leviatan Israel 16 403 0.2× 510 0.3× 479 0.4× 161 0.4× 208 0.8× 126 1.0k
Albrecht Pietsch Germany 22 1.3k 0.8× 571 0.4× 238 0.2× 1.5k 3.6× 53 0.2× 94 2.1k
Julian Musielak Poland 7 1.4k 0.8× 588 0.4× 242 0.2× 814 2.0× 35 0.1× 34 1.9k
Feyzı Başar Türkiye 29 1.6k 0.9× 2.5k 1.6× 720 0.5× 1.2k 3.0× 24 0.1× 119 2.6k

Countries citing papers authored by Z. Ditzian

Since Specialization
Citations

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

Fields of papers citing papers by Z. Ditzian

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Z. Ditzian

This figure shows the co-authorship network connecting the top 25 collaborators of Z. Ditzian. A scholar is included among the top collaborators of Z. Ditzian 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 Z. Ditzian. Z. Ditzian 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.
Ditzian, Z.. (2015). Norm and smoothness of a function related to the coefficients of its expansion. Journal of Approximation Theory. 196. 101–110. 1 indexed citations
2.
Dai, Feng & Z. Ditzian. (2009). Jackson theorem in Lp,0<p<1, for functions on the sphere. Journal of Approximation Theory. 162(2). 382–391. 1 indexed citations
3.
Ditzian, Z., et al.. (2007). Ul’yanov-type inequality for bounded convex sets in Rd. Journal of Approximation Theory. 151(1). 60–85. 3 indexed citations
4.
Ditzian, Z.. (2006). Approximation on Banach spaces of functions on the sphere. Journal of Approximation Theory. 140(1). 31–45. 9 indexed citations
5.
Dai, Feng & Z. Ditzian. (2005). Strong converse inequality for Poisson sums. Proceedings of the American Mathematical Society. 133(9). 2609–2611. 5 indexed citations
6.
Dai, Feng & Z. Ditzian. (2004). Combinations of multivariate averages. Journal of Approximation Theory. 131(2). 268–283. 31 indexed citations
7.
Ditzian, Z., et al.. (2000). Averages on Caps of Sd−1. Journal of Mathematical Analysis and Applications. 248(1). 260–274. 7 indexed citations
8.
Ditzian, Z.. (1995). A Note on Simultaneous Polynomial Approximation in L[− 1, 1], 0 < p < 1. Journal of Approximation Theory. 82(2). 317–319. 2 indexed citations
9.
Chen, W. & Z. Ditzian. (1993). A Note on Bernstein-Durrmeyer Operators in L2(S). Journal of Approximation Theory. 72(2). 234–236. 4 indexed citations
10.
Ditzian, Z., et al.. (1993). Strong Converse Inequality for the Bernstein-Durrmeyer Operator. Journal of Approximation Theory. 75(1). 25–43. 18 indexed citations
11.
Ditzian, Z., et al.. (1990). Mixed and directional derivatives. Proceedings of the American Mathematical Society. 108(1). 177–177. 14 indexed citations
12.
Ditzian, Z. & Вилмос Тотик. (1990). K-functional and weighted moduli of smoothness. Journal of Approximation Theory. 63(1). 3–29. 10 indexed citations
13.
Ditzian, Z.. (1989). The laplacian and the discrete laplacian. Compositio Mathematica. 69(1). 111–120. 5 indexed citations
14.
Ditzian, Z.. (1988). On the Marchaud-type inequality. Proceedings of the American Mathematical Society. 103(1). 198–202. 13 indexed citations
15.
Ditzian, Z.. (1987). Moduli of smoothness using discrete data. Journal of Approximation Theory. 49(2). 115–129. 12 indexed citations
16.
Ditzian, Z. & Вилмос Тотик. (1986). K functionals and best polynomial approximation in weighted L(R). Journal of Approximation Theory. 46(1). 38–41. 15 indexed citations
17.
Ditzian, Z.. (1985). Derivatives of Bernstein polynomials and smoothness. Proceedings of the American Mathematical Society. 93(1). 25–31. 8 indexed citations
18.
Ditzian, Z.. (1980). Some remarks on approximation theorems on various Banach spaces. Journal of Mathematical Analysis and Applications. 77(2). 567–576. 10 indexed citations
19.
Ditzian, Z. & M. G. Nadkarni. (1967). On the problem of evanescent processes. Proceedings of the American Mathematical Society. 18(4). 668–676. 2 indexed citations
20.
Ditzian, Z.. (1967). Gap and inversion formulas for the Cauchy integral. Journal of Mathematical Analysis and Applications. 18(3). 492–503.

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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