Year: 2011
Analysis in Theory and Applications, Vol. 27 (2011), Iss. 1 : pp. 32–39
Abstract
We study here $L^1$-convergence of new modified double cosine trigonometric sum and obtain a new necessary and sufficient condition for $L^1$-convergence of double cosine trigonometric series. Also, the results obtained by Moricz[1],[2] are particular cases of ours.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.1007/s10496-011-0032-8
Analysis in Theory and Applications, Vol. 27 (2011), Iss. 1 : pp. 32–39
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: $L^1$-convergence conjugate Dirichlet kernel.