Approximation by matrix transforms in weighted Orlicz spaces

Abstract

In this work the approximation problems of the functions by matrix transforms in weighted Orlicz spaceswith Muckenhoupt weights are studied. We obtain the degree of approximation of functions belonging to Lipschitz classLip(α, M, ω) through matrix transforms T(A)n (x, f), and Nörlund means Nn (x, f) of their trigonometric Fourier series.