On approximation of signals in the generalized Zygmund class via (E 1) [N, pn] summability means of conjugate Fourier series.

Approximation offunctions of different classes have been considered by various researchers under different summability means. In the present paper, presumably a new theorem has been established under (E, 1}(N p J -product summability mean of conjugate Fourier series of a function of Zfsl) r (r > 1} -class (generalized Zygmund class}. Moreover, the result obtained here is a generalization of several known theorems. [ABSTRACT FROM AUTHOR]