L1-Convergence of Modified Trignometric Sum Under Some Classes of Coefficients and Its Generalization

Abstract

In this paper we introduce new modified cosine sums and thenusing the sums we study the necessary and sufficient condition for L¹ - Convergence of trigonometric  cosine series underclass S & C. Also we do generalization of this modified sum and proved the necessary and sufficient condition for the L¹ convergence of  this generalized sum.