A. S. Serdyuk

450 total citations
58 papers, 272 citations indexed

About

A. S. Serdyuk is a scholar working on Numerical Analysis, Statistics and Probability and Applied Mathematics. According to data from OpenAlex, A. S. Serdyuk has authored 58 papers receiving a total of 272 indexed citations (citations by other indexed papers that have themselves been cited), including 49 papers in Numerical Analysis, 32 papers in Statistics and Probability and 25 papers in Applied Mathematics. Recurrent topics in A. S. Serdyuk's work include Mathematical Approximation and Integration (48 papers), Approximation Theory and Sequence Spaces (31 papers) and Advanced Harmonic Analysis Research (9 papers). A. S. Serdyuk is often cited by papers focused on Mathematical Approximation and Integration (48 papers), Approximation Theory and Sequence Spaces (31 papers) and Advanced Harmonic Analysis Research (9 papers). A. S. Serdyuk collaborates with scholars based in Ukraine, Czechia and United States. A. S. Serdyuk's co-authors include А. И. Степанец and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Approximation Theory and Journal of Mathematical Sciences.

In The Last Decade

A. S. Serdyuk

50 papers receiving 233 citations

Peers

A. S. Serdyuk
A. S. Serdyuk
Citations per year, relative to A. S. Serdyuk A. S. Serdyuk (= 1×) peers С. Б. Вакарчук

Countries citing papers authored by A. S. Serdyuk

Since Specialization
Citations

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

Fields of papers citing papers by A. S. Serdyuk

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. S. Serdyuk. 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 A. S. Serdyuk. The network helps show where A. S. Serdyuk may publish in the future.

Co-authorship network of co-authors of A. S. Serdyuk

This figure shows the co-authorship network connecting the top 25 collaborators of A. S. Serdyuk. A scholar is included among the top collaborators of A. S. Serdyuk 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 A. S. Serdyuk. A. S. Serdyuk 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
3.
Serdyuk, A. S., et al.. (2023). Uniform Approximations by Fourier Sums on the Sets of Convolutions of Periodic Functions of High Smoothness. Ukrainian Mathematical Journal. 75(4). 621–651. 1 indexed citations
6.
Serdyuk, A. S., et al.. (2016). Asymptotic equalities for best approximations for classes of infinitely differentiable functions defined by the modulus of continuity. Mathematical Notes. 99(5-6). 901–915. 2 indexed citations
7.
Serdyuk, A. S., et al.. (2015). Order Estimates for the Best Orthogonal Trigonometric Approximations of the Classes of Convolutions of Periodic Functions of Low Smoothness. Ukrainian Mathematical Journal. 67(7). 1038–1061. 2 indexed citations
8.
Serdyuk, A. S., et al.. (2014). Uniform Approximation of Periodical Functions by Trigonometric Sums of Special Type. 2014. 1–11. 1 indexed citations
9.
Serdyuk, A. S., et al.. (2013). Exact values of Kolmogorov widths of classes of Poisson integrals. Journal of Approximation Theory. 173. 89–109. 3 indexed citations
10.
Serdyuk, A. S., et al.. (2013). Lebesgue-type inequalities for the de la Valée-Poussin sums on sets of analytic functions. Ukrainian Mathematical Journal. 65(4). 575–592. 9 indexed citations
11.
Serdyuk, A. S., et al.. (2011). Asymptotic behavior of best approximations of classes of Poisson integrals of functions from Hω. Journal of Approximation Theory. 163(11). 1692–1706. 5 indexed citations
12.
Serdyuk, A. S., et al.. (2011). Approximation of classes of analytic functions by a linear method of special form. Ukrainian Mathematical Journal. 63(1). 125–133. 3 indexed citations
13.
Степанец, А. И., et al.. (2009). On relationship between classes of $(\Psi, \overline\upbeta)$ -differentiable functions and Gevrey classes. Ukrainian Mathematical Journal. 61(1). 171–177. 6 indexed citations
14.
Serdyuk, A. S., et al.. (2007). On some new criteria for infinite differentiability of periodic functions. Ukrainian Mathematical Journal. 59(10). 1569–1580. 6 indexed citations
15.
Serdyuk, A. S.. (2004). Approximation of infinitely differentiable periodic functions by interpolation trigonometric polynomials. Ukrainian Mathematical Journal. 56(4). 601–613. 2 indexed citations
16.
Serdyuk, A. S.. (2004). Approximation of infinitely differentiable periodic functions by interpolation trigonometric polynomials. Ukrainian Mathematical Journal. 56(4). 601–613. 4 indexed citations
17.
18.
Serdyuk, A. S.. (2000). Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of L1. Ukrainian Mathematical Journal. 52(7). 1141–1146. 2 indexed citations
19.
Serdyuk, A. S.. (1999). On the existence and uniqueness of a solution of the problem of uniformSK-spline-interpolation. Ukrainian Mathematical Journal. 51(4). 538–545. 2 indexed citations
20.
Serdyuk, A. S.. (1999). Widths and best approximations for classes of convolutions of periodic functions. Ukrainian Mathematical Journal. 51(5). 748–763. 8 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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