Necessary and sufficient type theorem for absolute Nörlund summability of conjugate series

Kumar, Arun

doi:10.1090/S0002-9939-1977-0510923-8

Necessary and sufficient type theorem for absolute Nörlund summability of conjugate series
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by Arun Kumar PDF

Proc. Amer. Math. Soc. 67 (1977), 77-83 Request permission

Abstract:

Sufficient conditions for $|N,{p_n}|$ summability of the conjugate series of Fourier series have been obtained earlier. The author obtains here a set of necessary and sufficient conditions for the result. This improves earlier results and provides a unified version of them.

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