APPROXIMATION OF SIGNALS BELONGING TO THE GENERALIZED WEIGHTED W(Lr, ξ(t)), r≥1 CLASS BY PRODUCT SUMMABILITY (C,1)(N,) MEANS OF CONJUGATE SERIES OF A FOURIER SERIES
ARADHANA DUTT JAUHARI *
Department of Mathematics, School of Basic and Applied Sciences, Galgotias University, Greater Noida, India.
*Author to whom correspondence should be addressed.
Abstract
The paper aims at studying and establishing the theorem of approximation of conjugate of the f∈W(Lr,ξ(t)) class by product summability (C,1)(N,pn) with the help of conjugate series of a Fourier series. The main theorem is a generalization of several known and new results concluded in the present study.
Keywords: Degree of approximation, generalized weighted Lipschitz class of function, conjugate Fourier series, Lebesgue integral