Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 5, Pages 8–22 (Mi vmumm4349)  
Mathematics

Properties of sums of double trigonometric series with multiply monotone coefficients

T. M. Vukolovaa, B. V. Simonovb

a Lomonosov Moscow State University, Institute of Russian Language and Culture
b Volgograd State Technical University
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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.
Received: 20.11.2019
English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2020, Volume 75, Issue 5, Pages 188–203
DOI: https://doi.org/10.3103/S0027132220050083
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: 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, no. 5, 8–22; Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 75:5 (2020), 188–203
Citation in format AMSBIB
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