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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Location: http://mech.math.msu.su/~fpm/eng/99/992/99213h.htm

Last modified: July 6, 1999