Estimates of Quasi-Norms for a Certain Class of Double Sine Series


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It this paper, we examine the sums of double sine series with coefficients that are multiply monotonic with respect to subsequences. We obtain sufficient conditions under which these sums belong to the classes Lp, 0 < p < ∞.

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B. Simonov

Volgograd State Technical University

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Email: simonov-b2002@yandex.ru
俄罗斯联邦, Volgograd

I. Simonova

Volgograd State Technical University

Email: simonov-b2002@yandex.ru
俄罗斯联邦, Volgograd

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