On the trigonometric approximation of signals belonging to generalized weighted Lipschitz W(Lr, ξ(t))(r ≥ 1)-class by matrix (C1 • Np) operator of conjugate series of its Fourier series

In the present paper, a new theorem on the degree of approximation of functione (f) over tilde, conjugate to a 2 pi periodic function f belonging to the generalized weighted Lipschitz W(L-r; xi(t)) (r >= 1)-class by dropping the monotonicity condition on the generating sequence {p(n)} has been established which in turn generalizes the results of Lal (2009) [12] on Fourier series. We also note some errors appearing in the paper of Lal (2009) [12] and rectify them in the view of observations of Rhoades et al. (2011) [22]. (C) 2014 Elsevier Inc. All rights reserved.