Sergey Tikhonov

2.3k total citations
101 papers, 1.2k citations indexed

About

Sergey Tikhonov is a scholar working on Applied Mathematics, Numerical Analysis and Mathematical Physics. According to data from OpenAlex, Sergey Tikhonov has authored 101 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 91 papers in Applied Mathematics, 41 papers in Numerical Analysis and 26 papers in Mathematical Physics. Recurrent topics in Sergey Tikhonov's work include Advanced Harmonic Analysis Research (59 papers), Mathematical Approximation and Integration (40 papers) and Mathematical Analysis and Transform Methods (30 papers). Sergey Tikhonov is often cited by papers focused on Advanced Harmonic Analysis Research (59 papers), Mathematical Approximation and Integration (40 papers) and Mathematical Analysis and Transform Methods (30 papers). Sergey Tikhonov collaborates with scholars based in Spain, Russia and Canada. Sergey Tikhonov's co-authors include Д. В. Горбачев, Elijah Liflyand, Mikhail Ivanovich Dyachenko, Ерлан Нурсултанов, Z. Ditzian, Feng Dai, В. И. Иванов, Vladimir Temlyakov, Michael I. Ganzburg and Walter Trebels and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Nanomaterials and Journal of Functional Analysis.

In The Last Decade

Sergey Tikhonov

94 papers receiving 1.0k citations

Peers

Sergey Tikhonov

Feng Dai Canada

Mario Milman United States

Vatan Karakaya Türkiye

А. И. Степанец Czechia

Bohumı́r Opic Czechia

Andreas Seeger United States

Petr P. Zabrejko Germany

Gauhar Rahman Pakistan

A. Calderón United States

Eric T. Sawyer Canada

Feng Dai Canada

Sergey Tikhonov

443 ×0.4

298 ×0.6

129 ×0.3

156 ×0.4

58 ×0.9

Citations per year, relative to Sergey Tikhonov Sergey Tikhonov (= 1×) peers Feng Dai

Countries citing papers authored by Sergey Tikhonov

Since Specialization

Citations

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

Fields of papers citing papers by Sergey Tikhonov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Sergey Tikhonov

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

All Works

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20 of 20 papers shown

Dai, Feng, et al.. (2023). On the cardinality of lower sets and universal discretization. Journal of Complexity. 76. 101726–101726.

Горбачев, Д. В., В. И. Иванов, & Sergey Tikhonov. (2023). On the kernel of the -Generalized fourier transform. Forum of Mathematics Sigma. 11. 2 indexed citations

Tikhonov, Sergey, et al.. (2023). Sparse Grid Approximation in Weighted Wiener Spaces. Journal of Fourier Analysis and Applications. 29(2). 2 indexed citations

Dyachenko, Mikhail Ivanovich & Sergey Tikhonov. (2022). Piecewise General Monotone Functions and the Hardy–Littlewood Theorem. Proceedings of the Steklov Institute of Mathematics. 319(1). 110–123. 2 indexed citations

Dyachenko, Mikhail Ivanovich, et al.. (2021). Functions with general monotone Fourier coefficients. Russian Mathematical Surveys. 76(6). 951–1017. 2 indexed citations

Бакулин, И. Г., et al.. (2021). Epidemiological and clinical risk factors for non-erosive reflux disease, erosive esophagitis and Barrett’s esophagus in Russia. Gastroenterology & Hepatology Open Access. 12(6). 176–180. 1 indexed citations

Carli, Laura De, Д. В. Горбачев, & Sergey Tikhonov. (2020). Weighted gradient inequalities and unique continuation problems. RECERCAT (Consorci de Serveis Universitaris de Catalunya).

Dyachenko, Mikhail Ivanovich, et al.. (2019). Smoothness of functions and Fourier coefficients. Sbornik Mathematics. 210(7). 994–1018. 2 indexed citations

Dai, Feng, et al.. (2019). Integral norm discretization and related problems. Russian Mathematical Surveys. 74(4). 579–630. 35 indexed citations

10.

Dai, Chang‐Feng, Д. В. Горбачев, & Sergey Tikhonov. (2019). Nikolskii inequality for lacunary spherical polynomials. Proceedings of the American Mathematical Society. 148(3). 1169–1174. 2 indexed citations

11.

Dyachenko, Mikhail Ivanovich, Ерлан Нурсултанов, & Sergey Tikhonov. (2018). Hardy-type theorems on Fourier transforms revised. Journal of Mathematical Analysis and Applications. 467(1). 171–184. 3 indexed citations

12.

Carli, Laura De, Д. В. Горбачев, & Sergey Tikhonov. (2017). Pitt inequalities and restriction theorems for the Fourier transform. RECERCAT (Consorci de Serveis Universitaris de Catalunya). 11 indexed citations

13.

Tikhonov, Sergey, et al.. (2014). Jacobi weights, fractional integration, and sharp Ulyanov inequalities. Journal of Approximation Theory. 195. 122–140. 1 indexed citations

14.

Carli, Laura De, Д. В. Горбачев, & Sergey Tikhonov. (2013). Pitt and Boas inequalities for Fourier and Hankel transforms. Journal of Mathematical Analysis and Applications. 408(2). 762–774. 12 indexed citations

15.

Dyachenko, Mikhail Ivanovich & Sergey Tikhonov. (2012). Trigonometric series with lacunary-monotone coefficients. 3(2). 31–52. 1 indexed citations

16.

Tikhonov, Sergey, et al.. (2010). Sharp Ul’yanov-type inequalities using fractional smoothness. Journal of Approximation Theory. 162(9). 1654–1684. 22 indexed citations

17.

Tikhonov, Sergey, et al.. (2009). Relations for moduli of smoothness in various metrics: functions with restrictions on the Fourier coefficients. 1(2). 205–222. 4 indexed citations

18.

Tikhonov, Sergey, et al.. (2008). Embedding theorems in constructive approximation. Sbornik Mathematics. 199(9). 1367–1407. 26 indexed citations

19.

Tikhonov, Sergey, et al.. (2006). On embeddings of function classes defined by constructive characteristics. Banach Center Publications. 285–307. 13 indexed citations

20.

Tikhonov, Sergey. (2004). On Generalized Lipschitz Classes and Fourier Series. Zeitschrift für Analysis und ihre Anwendungen. 23(4). 745–764. 33 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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