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

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014 Number 5, Pages 7–17 (Mi vmumm343)

This article is cited in 1 paper

Mathematics

Estimates of mixed norms of functions representable by series over products of cosines and sines with multiple-monotone coefficients

T. M. Vukolova

Lomonosov Moscow State University, Institute of Russian Language and Culture

Abstract: In this paper we prove lower and upper bounds for norms of mixed functions being sums of series in products of cosine and sine functions.

Key words: mixed norm, series in cosine and sine products, monotone coefficients.

UDC: 517.5

Received: 21.05.2012


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2014, 69:5, 182–192

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