ON L1 -CONVERGENCE OF NEWLY DEFINED MODIFIED SUM

Sakshi* and Karanvir Singh

Abstract

Many generalized and revised versions of the classes aforementioned have been introduced to study this problem of trigonometric series but assumptions on coefficients alone could not ensure the L1-convergence of either cosine series or sine series and the condition remained confirmed. In order to have better results, Rees and Stanojevic , Kumari and Ram and many other authors start defining cosine sums suitably for studying L1-convergence, as these sums give better results than conventional partial sums.So,motivated by the above authors we try to define the new modified sum. In order to prove this modified sum , we introduce a new class named as AW.

Keywords:

: New Modified Sum, AW Class, Convergence, L1-Metric


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References


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