Degree of approximation of signals (functions) in Besov space using linear operators

Mittal, Rhoades (1999-2001), Mittal et al. (2005, 2006, 2011) have initiated a study of error estimates through trigonometric Fourier approximation (tfa) for the situation in which the summability matrix T = (a(n, k)) does not have monotone rows. Recently Mohanty et al. (2011) have obtained a theorem on the degree of approximation of functions in Besov space B-q(alpha)(Lp) by choosing T to be a Norlund (N-p)-matrix with non-increasing weights {p(n)}. In this paper, we continue the work of Mittal et al. and extend the result of Mohanty et al. (2011) to the general matrix T.