An Application of Product Summability to Approximating the Conjugate Series of a Special Class of Signals

Abstract

The Lipschitz class of functions was introduced by McFadden while Zygmund developed the method of trigonometric approximation of periodic functions and their Fourier series. Recently, researchers have established many results on different product summability transformations for approximating Fourier series and their conjugate series of periodic functions of different Lipschitz classes. However, in the present article we established a result for approximating conjugate series of a signal of class Lip(β, p) by the product of Euler and matrix summability.