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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 1, Pages 11–30
DOI: https://doi.org/10.26907/0021-3446-2021-1-11-30 (Mi ivm9638) 		 
Trigonometric series with coefficients general monotone with respect to subsequences

I. E. Simonova, B. V. Simonov

Volgograd State Technical University, 28 Lenin ave., Volgograd, 400005 Russia
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DOI: https://doi.org/10.26907/0021-3446-2021-1-11-30
Abstract: Functions, represented as trigonometric series with general monotone according subsequences Fourier coefficients, are considered in the article. For such functions estimates of the norm and modulus of smoothness are given.
Keywords: general monotone subsequences, Fourier serie, coefficient, moduli of smoothnes.
Received: 02.02.2020
Revised: 26.02.2020
Accepted: 25.03.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 1, Pages 8–26
DOI: https://doi.org/10.3103/S1066369X21010023
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: I. E. Simonova, B. V. Simonov, “Trigonometric series with coefficients general monotone with respect to subsequences”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 1, 11–30; Russian Math. (Iz. VUZ), 65:1 (2021), 8–26
Citation in format AMSBIB
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