On Summarization by Borel’s method of the row obtained by producing the row twice

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Ketevan Shvangiradze

Abstract

The paper shows the summability at a point of the series obtained by multiplying the Fourier double series of a 2π
periodic function of two variables by the Borel method, when the function has a mixed integral derivative of the second order
at this point.

Keywords:
Double Fourier series, mixed derivative, summability, Borel’s method.
Published: Mar 15, 2025

Article Details

Section
MATHEMATICS