Estimates of quasi-norms for a certain class of double sine series

B. V. Simonov, I. E. Simonova

Volgograd State Technical University

Abstract: 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 $L_p$, $0<p<\infty$.

UDC: 517.5