M. K. Potapov, F. M. Berisha, “On the Connection Between the Best Approximation by Algebraic Polynomials and the Modulus of Smoothness of Order <nobr>$r$</nobr>”, CMFD, 2007, Volume 25,Pages <nobr>149

On the Connection Between the Best Approximation by Algebraic Polynomials and the Modulus of Smoothness of Order $r$

M. K. Potapov^a, F. M. Berisha^b

^a M. V. Lomonosov Moscow State University
^b University of Prishtina, Serbia

Abstract: We introduce a family of asymmetric generalized translations. In terms of these operators we define generalized miduli of smoothness for which the direct and inverse theorems of approximation theory are proved.

UDC: 517.5