On a connection between a generalised modulus of smoothness of order~ and the best approximation by algebraic polynomials
arXiv:1208.6590
Abstract
In this paper an asymmetrical operator of generalised translation is introduced, the generalised modulus of smoothness is defined by its means and the direct and inverse theorems in approximation theory are proved for that modulus. ----- V dannoǐ rabote vvoditsya nesimmetrichnyǐ operator obobshchennogo sdviga, s ego pomoshchyu opredelyaetsya obobshchennyǐ modul' gladkosti i dlya nego dokazyvaetsya pryamaya i obratnaya teoremy teorii priblizheniǐ.
20 pages, in Russian