TRIGONOMETRIC APPROXIMATION BY MATRIX TRANSFORMS IN L^p(x)SPACES

Abstract

The Lipschitz classes Lip (α, p(x)), 0 < α ≤ 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 ∈ Lip (α, p(x)) is estimated by n -α .