The approximation of a H�lder class of two variables by Riesz spherical means

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1974 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 15, pages 20-25 (issn: 0001-4346, eissn: 1573-8876,

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Authors: Golubov, B. I.;

doi: 10.1007/bf01153539

The approximation of a H�lder class of two variables by Riesz spherical means

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Abstract

For periodic functions of the Holder class H2α (0 \frac{1}{2} + \alpha } \right),$$ where SRδ is the Riesz spherical mean of orderδ of the Fourier series of the functionf(x).

Keywords

Fourier coefficients, Fourier series of functions with special properties, special Fourier series, Fourier series and coefficients in several variables, Approximation by arbitrary linear expressions

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