RUS  ENG
Full version
JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2010 Volume 16, Number 4, Pages 297–299 (Mi timm663)

This article is cited in 4 papers

On the rate of approximation of functions in Lipschitz norms

S. A. Telyakovskii

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: We show that the problem on the rate of approximation of functions in Lipschitz norms is reduced to estimating approximations in $C$. Approximations in Lipschitz norms by Vallée Poussin sums are considered as an example.

Keywords: trigonometric polynomials, modulus of continuity, Lipschitz norms, Vallée Poussin sums.

UDC: 517.518.83

Received: 23.03.2010


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2011, 273, suppl. 1, S160–S162

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025