Abstract
In this paper we deal with a special double sine trigonometric series formed by its blocks. This type of trigonometric series is of particular interest since its blocks always are bounded, that is, under some additional assumptions the sum-function of such series always exists. We give some conditions under which such sum-function is integrable of power p ∈ {2, 3,... }, as well as is integrable with some natural weight.
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Original Russian Text © Xh. Z. Krasniqi, 2017, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2017, No. 1, pp. 59-67.
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Krasniqi, X.Z. On L p-integrability of a special double sine series formed by its blocks. J. Contemp. Mathemat. Anal. 52, 48–53 (2017). https://doi.org/10.3103/S106836231701006X
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DOI: https://doi.org/10.3103/S106836231701006X