FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 2, PAGES 563-587

On the connection between a $r$-order modulus of smoothness and the best approximation by algebraic polynomials

M. K. Potapov
F. M. Berisha

Abstract

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In this paper an asymmetrical operator of generalized translation is introduced and used to define the generalized modulus of smoothness; the direct and inverse theorems in approximation theory are proved for that modulus.

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Last modified: July 6, 1999