On The Degree of Approximation of Signals (Functions) Belonging to Generalized Weighted ( , ( )), ( 1) p W L x t p ³ - Class by Product Summability Method

Abstract

In the present paper we have studied the degree of approximation of a Signal (function) associated with Fourier series and belonging to the generalized weighted ( , ( )), ( 1) p W L x t p ³ -class by product summability (C, 1)(E, q) method. Recently Lal and Kushwaha1
obtained the degree of approximation of certain function belonging to Lipa class by (C, 1)(E, q) means of its Fourier series. We have
extended this result to the functions belonging to ( , ( )), ( 1) p W L x t p ³ by using (C,1) (E, q) means of its Fourier series. The class ( , ( )), ( 1) p W L x t p ³ , we have used in the theorem includes Lip(x (t) , p) and Lipa classes.