Trigonometric approximation by matrix transforms in l-p(x) spaces

Abstract

The Lipschitz classes Lip(alpha, p(x)), 0 < alpha <= 1 are defined for the Lebesgue spaces L-p(x) with variable exponent p(x), and the degree of approximation by matrix transforms of f is an element of Lip(alpha, p(x)) is estimated by n(-alpha).