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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2017 Number 4, Pages 50–58 (Mi ivm9228)

This article is cited in 1 paper

A-integrability of sums of certain trigonometric series

B. V. Simonov, I. E. Simonova

Volgograd State Technical University, 28 Lenina Ave., Volgograd, 400005 Russia

Abstract: We investigate sine and cosine series with coefficients tending to zero, whose subsequences of coefficients have bounded variation.

Keywords: A-integral, series, subsequence, convergence almost everywhere.

UDC: 517.518

Received: 19.09.2015


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, 61:4, 41–48

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© Steklov Math. Inst. of RAS, 2026