Approximation of multidimensional functions with a given majorant of mixed moduli of continuity

被引：12

作者：

Pustovoitov, NN ^{[1
]}

机构：

[1] Moscow State Tech Univ, Moscow, Russia

来源：

MATHEMATICAL NOTES | 1999年 / 65卷 / 1-2期

关键词：

order-exact upper bound; approximation of functions by trigonometric polynomials; mixed modulus of continuity; level surface; hyperbolic cross; Kolmogorov width; Nikol'skii class;

D O I：

10.1007/BF02675013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper order-exact upper bounds for the best approximations of classes H-q(Omega) by trigonometric polynomials are obtained. The spectrum of the approximating polynomials lies in sets generated by the level surfaces of the function Omega(t). These sets are a generalization of hyperbolic crosses to the case of an arbitrary function Omega(t).

引用

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页码：89 / 98

页数：10

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