2019
Том 71
№ 6

All Issues

On the best $m$-term trigonometric and orthogonal trigonometric approximations of functions from the classes $L^{Ψ}_{β,ρ}$

Fedorenko A. S.

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Abstract

We obtain estimates exact in order for the best trigonometric and orthogonal trigonometric approximations of the classes $L^{Ψ}_{β,ρ}$ of functions of one variable in the space $L_q$ in the case $2 < p < q < ∞$.

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 12, pp 1945–1949.

Citation Example: Fedorenko A. S. On the best $m$-term trigonometric and orthogonal trigonometric approximations of functions from the classes $L^{Ψ}_{β,ρ}$ // Ukr. Mat. Zh. - 1999. - 51, № 12. - pp. 1719-1721.

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