Trigonometric widths of the classes Lβ,pψ of functions of many variables

被引：0

作者：

Konsevych N.M. ^{[1
]}

机构：

[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

来源：

Ukrainian Mathematical Journal | 2001年 / 53卷 / 9期

关键词：

Periodic Function; Order Estimate; Trigonometric Width; Obtain Order Estimate;

D O I：

10.1023/A:1014331111819

中图分类号：

学科分类号：

摘要：

引用

页码：1561 / 1567

页数：6

共 9 条

[1]

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[2]

Stepanets A.I., Classification and Approximation of Periodic Functions [in Russian], (1987)

[3]

Romanyuk A.S., Approximation of periodic functions of many variables in the metric of Lq, Approximation of PeriodicFunctions in the Metric of the Space Lp [in Russian], pp. 42-58, (1987)

[4]

Belinskii E.S., Galeev E.M., On the least value of norms of mixed derivatives of trigonometric polynomials with given number of harmonics, Vestn. Mask. Univ., Ser. Mat. Mekh., 2, pp. 3-7, (1991)

[5]

Temlyakov V.N., Approximation of functions with bounded mixed derivative, Tr. Mat. Inst. Akad. Nauk SSSR, 178, pp. 3-112, (1986)

[6]

Romanyuk A.S., Trigonometric widths of the classes Bp,⊖r of functions of many variables in the space Lq, Ukr. Mat. Zh., 50, 8, pp. 1089-1097, (1998)

[7]

Nikol'skii S.M., Approximation of Functions of Many Variables and Imbedding Theorems [in Russian], (1977)

[8]

Romanyuk A.S., Estimates for the best approximations and widths of classes Lβ,pψ of periodic functions of many variables, [in Russian], pp. 29-59, (1988)

[9]

Belinskii E.S., Approximation of periodic functions of many variables by a "floating" system of exponents and trigonometric widths, Dokl. Akad. NaukSSSR, 284, 6, pp. 1294-1297, (1985)

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