Integrability and $L^1$-Convergence of Double Cosine Trigonometric Series

J. Kaur & S. S. Bhatia

doi:10.1007/s10496-011-0032-8

Integrability and $L^1$-Convergence of Double Cosine Trigonometric Series

Authors

J. Kaur & S. S. Bhatia

DOI:

https://doi.org/10.1007/s10496-011-0032-8

Keywords:

$L^1$-convergence, conjugate Dirichlet kernel.

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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Published

2018-08-14

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Issue

Vol. 27 No. 1 (2011)

Section

Articles

How to Cite

Integrability and $L^1$-Convergence of Double Cosine Trigonometric Series. (2018). Analysis in Theory and Applications, 27(1), 32-39. https://doi.org/10.1007/s10496-011-0032-8