Journal of Advances in Mathematics and Computer Science

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

Nawneet Hooda *

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

*Author to whom correspondence should be addressed.

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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.

Keywords: L1- convergence, modified cosine sum, class S.

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