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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017 Number 5, Pages 3–13 (Mi vmumm88)

Mathematics

Estimates of norms of functions represented as double series over cosines with multiple-monotone coefficients

T. M. Vukolova

Lomonosov Moscow State University, Institute of Russian Language and Culture

Abstract: We prove lower and upper bounds for the norms of functions being the sums of double series in cosines.

Key words: norm, series in the works of cosines, monotone coefficients.

UDC: 517.5

Received: 26.11.2016


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2017, 72:5, 181–191

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© Steklov Math. Inst. of RAS, 2025