Direct and inverse theorems of approximation theory for a generalised modulus of smoothness

Abstract

An asymmetric operator of generalised translation is introduced in this paper. Using this operator, we define a generalised modulus of smoothness and prove direct and inverse theorems of approximation theory for it.

14 pages

References in corpus (1)

• Approximation of classes of functions defined by a generalized $r$-th modulus of smoothness