I. E. Simonova, B. V. Simonov, “Trigonometric series with coefficients general monotone with respect to subsequences”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, Number 1,Pages <nobr>11

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

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.

UDC: 517.5

Received: 02.02.2020
Revised: 26.02.2020
Accepted: 25.03.2020

DOI: 10.26907/0021-3446-2021-1-11-30