APPROXIMATION OF SIGNALS (FUNCTIONS) BELONGING TO Lip (ξ (t), r)-CLASS BY C¹. Np SUMMABILITY METHOD OF CONJUGATE SERIES OF ITS FOURIER SERIES.

Recently, Lal [9] has determined the degree of approximation of function belonging to Lip α and weighted classes using Product C¹. Np summability with non-increasing weights{pn}. In this paper, we determine the degree of approximation of function f, conjugate to a 2π-periodic function f belonging to Lip (ξ (t), r)-class using semi-monotonicity on the generating sequence {pn} with proper set of conditions. Few applications of approximation of functions will also be highlighted. [ABSTRACT FROM AUTHOR]