A certain studies on Norlund summability of series

Subject Areas : Sequences, series, summability

S. Sahani ¹ , L. Mishra ²

1 - Department of Mathematics, MIT Campus, T.U. Janakpurdham, Nepal|Department of Mathematics, Rajarshi Janak Campus, T.U, Janakpurdham, 45600, Nepal
2 - Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore, 632 014 Tamil Nadu, India

Received: 2020-07-19 Accepted : 2020-11-23 Published : 2020-12-01

Keywords: Fourier series, Convergence and divergence, conjugate, summability,

Abstract :

In this paper, we have obtained two theorems for N\"orlund summability of Fourier series and their conjugate series under very general conditions. These two theorems are closely related to the great works of the analysts Patti \cite{20}, McFadden \cite{22} and Siddiqui \cite{23} but not the same.

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