Geodesic
On the Connection Between the Best Approximation by Algebraic Polynomials and the Modulus of Smoothness of Order $r$
Contemporary Mathematics. Fundamental Directions, Theory of functions, Tome 25 (2007), pp. 149-164 
M. K. Potapov; F. M. Berisha. On the Connection Between the Best Approximation by Algebraic Polynomials and the Modulus of Smoothness of Order $r$. Contemporary Mathematics. Fundamental Directions, Theory of functions, Tome 25 (2007), pp. 149-164. http://geodesic.mathdoc.fr/item/CMFD_2007_25_a11/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

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