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

Trudy Inst. Mat. i Mekh. UrO RAN, 2012 Volume 18, Number 4, Pages 258–266 (Mi timm884)

This article is cited in 1 paper

Best approximation of periodic functions of several variables from the classes $MB^\omega_{p,\theta}$ in the uniform metric

S. A. Stasyuk

Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev

Abstract: We obtain order estimates for the best approximation in the uniform metric of periodic functions of several variables from the classes $MB^\omega_{p,\theta}$ by trigonometric polynomials with the “indices” of harmonics from step hyperbolic crosses.

Keywords: best approximation, step hyperbolic cross, mixed smoothness, uniform metric.

UDC: 517.51

Received: 14.06.2012



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024