This article is cited in 23 papers

Best Trigonometric Approximations for Some Classes of Periodic Functions of Several Variables in the Uniform Metric

A. S. Romanyuk

Institute of Mathematics, Ukrainian National Academy of Sciences

Abstract: We study best $M$-term trigonometric approximations and best orthogonal trigonometric approximations for the classes $B^r_{p,\theta}$ and $W^r_{p,\alpha}$ of periodic functions of several variables in the uniform metric.

Keywords: best trigonometric approximation, the classes $B^r_{p,\theta}$ and $W^r_{p,\alpha}$ of periodic functions, Minkowski's inequality, Hölder's inequality, Vallée-Poussin kernel.

UDC: 517.5

Received: 28.03.2005
Revised: 17.11.2006

DOI: 10.4213/mzm3797

 English version: Mathematical Notes, 2007, 82:2, 216–228

Bibliographic databases:

• 
• 
• 
•