A theorem on approximation by algebraic polynomials of functions with given generalised modulus of smoothness
arXiv:1208.6040
Abstract
We introduce an asymmetric operator of generalised translation, define the generalised modulus of smoothness by its means, and obtain the direct and inverse theorems in approximation theory for it.
2 pages, International Conference "Functional spaces; Differential operators; Problems of mathematical education," Moscow, 1998