Approximation of Classes of Periodic Functions in Several Variables期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Approximation of Classes of Periodic Functions in Several Variables

Authors:	Romanyuk A. S.

Affiliation:	(1) Mathematics Institute, National Academy of Sciences of Ukraine, Kiev

Abstract:	We study the approximation of the classes $B_{p,theta }^r$ and $W_{p,alpha }^r$ of periodic functions of several variables by multiple Fourier sums of fixed order constructed with regard to individual properties of functions from these classes. In a number of cases, such approximations allow us to achieve a better degree of approximation of the classes indicated above as compared to their approximation by staircase hyperbolic Fourier sums.

Keywords:	orthogonal trigonometric approximation Besov class of functions multiple Fourier sum staircase hyperbolic Fourier sum Rudin--Shapiro polynomials
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