T. M. Vukolova, B. V. Simonov, “Properties of sums of double trigonometric series with multiply monotone coefficients”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, Number 5,Pages <nobr>8

Mathematics

Properties of sums of double trigonometric series with multiply monotone coefficients

T. M. Vukolova^a, B. V. Simonov^b

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

Abstract: Sums of double sine and cosine series with multiply monotonic coefficients are studied. Sufficient conditions for such sums to belong to Orlich's weighted classes are obtained.

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

UDC: 517.5

Received: 20.11.2019