A. S. Romanyuk

550 total citations
47 papers, 345 citations indexed

About

A. S. Romanyuk is a scholar working on Numerical Analysis, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, A. S. Romanyuk has authored 47 papers receiving a total of 345 indexed citations (citations by other indexed papers that have themselves been cited), including 45 papers in Numerical Analysis, 19 papers in Applied Mathematics and 5 papers in Mathematical Physics. Recurrent topics in A. S. Romanyuk's work include Mathematical Approximation and Integration (45 papers), Mathematical functions and polynomials (12 papers) and Advanced Harmonic Analysis Research (9 papers). A. S. Romanyuk is often cited by papers focused on Mathematical Approximation and Integration (45 papers), Mathematical functions and polynomials (12 papers) and Advanced Harmonic Analysis Research (9 papers). A. S. Romanyuk collaborates with scholars based in Ukraine, Czechia and United States. A. S. Romanyuk's co-authors include and has published in prestigious journals such as Mathematische Nachrichten, Sbornik Mathematics and Journal of Mathematical Sciences.

In The Last Decade

A. S. Romanyuk

43 papers receiving 312 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
A. S. Romanyuk Ukraine	11	317	156	41	33	24	47	345
В. И. Иванов Russia	9	73 0.2×	226 1.4×	39 1.0×	107 3.2×	36 1.5×	91	317
Д. В. Горбачев Russia	12	87 0.3×	318 2.0×	23 0.6×	162 4.9×	14 0.6×	72	395
С. Б. Вакарчук Ukraine	13	402 1.3×	378 2.4×	202 4.9×	30 0.9×	20 0.8×	82	544
Yu. N. Subbotin Russia	9	93 0.3×	84 0.5×	10 0.2×	22 0.7×	13 0.5×	58	221
A. S. Serdyuk Ukraine	9	217 0.7×	145 0.9×	136 3.3×	15 0.5×	17 0.7×	58	272
Liu Zheng China	10	41 0.1×	270 1.7×	31 0.8×	16 0.5×	7 0.3×	45	340
Jesús Bastero Spain	10	21 0.1×	272 1.7×	32 0.8×	124 3.8×	25 1.0×	44	369
Ушанги Гогинава Georgia	14	142 0.4×	578 3.7×	305 7.4×	157 4.8×	4 0.2×	102	592
Douglas S. Kurtz United States	13	85 0.3×	570 3.7×	32 0.8×	302 9.2×	2 0.1×	30	620
Kenneth Andersen Canada	7	27 0.1×	274 1.8×	12 0.3×	157 4.8×	3 0.1×	9	332

Countries citing papers authored by A. S. Romanyuk

Since Specialization

Citations

This map shows the geographic impact of A. S. Romanyuk'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. Romanyuk 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. Romanyuk more than expected).

Fields of papers citing papers by A. S. Romanyuk

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

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All Works

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20 of 20 papers shown

Romanyuk, A. S., et al.. (2025). Estimates of the characteristics of nonlinear approximation of classes of periodic functions of many variables. Carpathian Mathematical Publications. 17(2). 447–460.

Romanyuk, A. S., et al.. (2023). Characteristics of linear and nonlinear approximation of isotropic classes of periodic multivariate functions. Carpathian Mathematical Publications. 15(1). 78–94. 1 indexed citations

Romanyuk, A. S., et al.. (2022). Approximation of the Classes of Periodic Functions of One and Many Variables from the Nikol’skii–Besov and Sobolev Spaces. Ukrainian Mathematical Journal. 74(6). 967–980. 2 indexed citations

Romanyuk, A. S., et al.. (2020). Approximative characteristics and properties of operators of the best approximation of classes of functions from the Sobolev and Nikol'skii-Besov spaces. 17(3). 372–395. 2 indexed citations

Romanyuk, A. S., et al.. (2019). Approximating Characteristics of the Classes of Periodic Multivariate Functions in the Space B∞,1. Ukrainian Mathematical Journal. 71(2). 308–321. 14 indexed citations

Romanyuk, A. S.. (2018). Kolmogorov Widths and Bilinear Approximations of the Classes of Periodic Functions of One and Many Variables. Ukrainian Mathematical Journal. 70(2). 252–265. 1 indexed citations

Romanyuk, A. S.. (2018). Entropy Numbers and Widths for the Nikol’skii–Besov Classes of Functions of Many Variables in the Space L∞. Analysis Mathematica. 45(1). 133–151. 3 indexed citations

Romanyuk, A. S.. (2016). Estimation of the Entropy Numbers and Kolmogorov Widths for the Nikol’skii–Besov Classes of Periodic Functions of Many Variables. Ukrainian Mathematical Journal. 67(11). 1739–1757. 9 indexed citations

Romanyuk, A. S.. (2013). Best trigonometric and bilinear approximations of classes of functions of several variables. Mathematical Notes. 94(3-4). 379–391. 3 indexed citations

10.

Romanyuk, A. S.. (2009). Approximative characteristics of the isotropic classes of periodic functions of many variables. Ukrainian Mathematical Journal. 61(4). 613–626. 9 indexed citations

11.

Romanyuk, A. S.. (2008). Best approximations and widths of classes of periodic functions of several variables. Sbornik Mathematics. 199(2). 253–275. 10 indexed citations

12.

Romanyuk, A. S.. (2004). Approximability of the classes $ B_{p,\theta}^r$ of periodic functions of several variables by linear methods and best approximations. Sbornik Mathematics. 195(2). 237–261. 10 indexed citations

13.

Romanyuk, A. S.. (2002). Approximation of Classes B r p,θ by Linear Methods and Best Approximations. Ukrainian Mathematical Journal. 54(5). 825–838. 1 indexed citations

14.

Romanyuk, A. S.. (2001). Linear Widths of the Besov Classes of Periodic Functions of Many Variables. I. Ukrainian Mathematical Journal. 53(5). 744–761. 8 indexed citations

15.

Romanyuk, A. S.. (2001). On Estimates of the Kolmogorov Widths of the Classes $$B_{p,q}^r$$ in the Space Lq. Ukrainian Mathematical Journal. 53(7). 1189–1196. 10 indexed citations

16.

Romanyuk, A. S.. (1998). Trigonometric widths of the classes B p,θ r of functions of many variables in the space L q. Ukrainian Mathematical Journal. 50(8). 1242–1252. 5 indexed citations

17.

Romanyuk, A. S.. (1995). On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables. Ukrainian Mathematical Journal. 47(1). 91–106. 14 indexed citations

18.

Romanyuk, A. S.. (1993). The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables. Ukrainian Mathematical Journal. 45(5). 724–738. 14 indexed citations

19.

Romanyuk, A. S.. (1992). Approximation of classes of periodic functions of several variables. Ukrainian Mathematical Journal. 44(5). 596–606. 12 indexed citations

20.

Romanyuk, A. S.. (1991). Approximation of the Besov classes of periodic functions of several variables in a space Lq. Ukrainian Mathematical Journal. 43(10). 1297–1306. 39 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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