DEGREE OF APPROXIMATION OF CONJUGATE OF SIGNALS (FUNCTIONS) BELONGING TO THE GENERALIZED WEIGHTED LIPSCHITZ W(Lr,ξ(t)), (r ≥ 1) - CLASS BY (C, 1) (E, Q) MEANS OF CONJUGATE TRIGONOMETRIC FOURIER SERIES.

Very recently, Sonker and Singh [21] determined the degree of approximation of the conjugate of 2π-periodic signals (functions) belonging to Lip(α, r)(0 < α = 1, r = 1)-class by using Cesàro-Euler (C,1) (E,q) means of their conjugate trigonometric Fourier series. In the present paper, we generalize the result of Sonker and Singh [21] on the generalized weighted Lipschitz W(Lr, ξ(t)), (r = 1)- class of signals (functions) by product summability (C,1) (E,q) transform of conjugate trigonometric Fourier series. Our result also generalizes the result of Lal and Singh [6]. Few applications and example of approximation of functions will also be highlighted. [ABSTRACT FROM AUTHOR]