On uniform convergence of one class of double trigonometric series

M.I. Alkhimov (Dnipropetrovsk State University)

Abstract


We have established sufficient conditions of uniform convergence of the series of the form $$$\sum\limits_{k,l=1} a_{k,l} \sin kx \sin ly$$$ in the strip: $$$-\infty < x < +\infty$$$, $$$\delta \leqslant y \leqslant 2\pi - \delta$$$ ($$$\delta$$$ is a fixed number, $$$0 < \delta < \pi$$$).

References


Alkhimov M.I. "To the question of uniform convergence of some double trigonometric series", Res. Math., 1975; 6. (in Russian)

Bari N.K. Trigonometric series, Fizmatgiz, 1961. (in Russian)




DOI: https://doi.org/10.15421/247713

  

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Copyright (c) 1977 M.I. Alkhimov

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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