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

A. S. Romanyuk

Matematičeskie zametki, Tome 82 (2007) no. 2, pp. 247-261.

Résumé

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.

Détail

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

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