Summability of multiple Fourier series of functions of bounded generalized variation

被引:0
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作者
U. Goginava
A. Sahakian
机构
[1] I. Javakhishvili Tbilisi State University,I. Vekua Institute of Applied Mathematics
[2] Yerevan State University,Faculty of Mathematics and Mechanics
关键词
Fourier Series; STEKLOV Institute; Regular Point; Partial Variation; Double Fourier Series;
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摘要
The paper is devoted to summability problems for multiple Fourier series of functions of bounded generalized variation. We find necessary and sufficient conditions on a sequence Λ = {λn} that guarantee the convergence of the Cesàro means of multiple Fourier series of functions of bounded Λ-variation.
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页码:144 / 155
页数:11
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