RUS  ENG
Full version
JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022 Number 2, Pages 3–17 (Mi vmumm4454)

Mathematics

Properties of sine series in weighted spaces

T. M. Vukolovaa, B. V. Simonovb

a Lomonosov Moscow State University, Institute of Russian Language and Culture
b Volgograd State Technical University

Abstract: Sums of double sine series with coefficients multiply monotone by subsequences are studied. Conditions under which these sums belong to weighted spaces are obtained.

Key words: series, coefficients of series, multiply monotonicity, sequence, sum.

UDC: 517.5

Received: 21.10.2021


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2022, 77:2, 49–66

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025