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Best $M$-term trigonometric approximations of Besov classes of periodic functions of several variables

A. S. Romanyuk

Institute of Mathematics, Ukrainian National Academy of Sciences

Abstract: We obtain order-exact estimates for the best $M$-term trigonometric approximations of the Besov classes $B_{p,\theta}^r$ of periodic functions of several variables in $L_q$ with certain relations between $p$ and $q$.

UDC: 517.5

MSC: 42B99, 41A46, 41A50

Received: 27.07.2001

DOI: 10.4213/im427

 English version: Izvestiya: Mathematics, 2003, 67:2, 265–302

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