On Approximation of Signals in the Weighted Zygmund Class via (E,l)(N,p_n) Summability Means of Conjugate Fourier Series

摘要

Approximation of signals in Lipschitz and Zygmund classes via different summability means have been demonstrated by many researchers. In the proposed paper, we have studied an estimation of the order of convergence of conjugate Fourier series in the weighted Zygmund class W(Z~(ω)_τ ) by using (E, l)(N,p_n)-product summability means and accordingly established some new results. Also, the results obtained here generalizes some known results.