Journal of Soviet Mathematics

, Volume 28, Issue 3, pp 294–305 | Cite as

Approximation of functions from B p, θ l (G) by anisotropic averages

  • V. P. Il'in
Article
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Abstract

The article considers the approximation of functions from O. V. Besov's class B p, θ l (G) by anisotropic average functions. Proofs are given of the approximation theorem, the inverse theorem of approximation theory, and the saturation theorem associated with the choice of the averaging kernel.

Keywords

Average Function Approximation Theory Approximation Theorem Average Kernel Anisotropic Average 

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Literature cited

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Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • V. P. Il'in

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