Necessary and Sufficient Conditions for L1 - convergence of Cosine Trigonometric Series

Nawneet Hooda

doi:10.9734/BJMCS/2016/21641

Research Article Open access CC BY 4.0

Necessary and Sufficient Conditions for L1 - convergence of Cosine Trigonometric Series

Nawneet Hooda

Journal of Advances in Mathematics and Computer Science · pp. 1–7 · Published 19 Nov 2015

10.9734/BJMCS/2016/21641

Abstract

We obtain a necessary and sufficient condition for L1-convergence of a modified cosine sum and a theorem of Telyakovskii [1] concerning convergence behavior of cosine series with monotonic decreasing coefficients has been deduced as a corollary.

L1- convergence modified cosine sum class S.

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Nawneet Hooda (2015). Necessary and Sufficient Conditions for L1 - convergence of Cosine Trigonometric Series. Journal of Advances in Mathematics and Computer Science , 1–7. https://doi.org/10.9734/BJMCS/2016/21641

Affiliations

Nawneet Hooda — Department of Mathematics, DCR University of Science and Technology, Murthal-131039, India.

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