APPROXIMATION OF THE NIKOL'SKII-BESOV FUNCTIONAL CLASSES BY ENTIRE FUNCTIONS OF A SPECIAL FORM

被引：1

作者：

Yanchenko, S. Ya ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, 3 Tereschenkivska Str, UA-01024 Kiev, Ukraine

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2020年 / 12卷 / 01期

关键词：

Nikol'skii-Besov classes; entire function of exponential type; Fourier transform;

D O I：

10.15330/cmp.12.1.148-156

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the exact-order estimates for the approximation of functions from the Nikol'skii- Besov classes (S1,theta B)-B-r(R-d), d >= 1, by entire functions of exponential type with some restrictions for their spectrum. The error of the approximation is estimated in the metric of the Lebesgue space L-infinity(R-d).

引用

页码：148 / 156

页数：9

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