Jackson-Stechkin type inequalities for special moduli of continuity and widths of function classes in the space L 2

被引：19

作者：

Vakarchuk, S. B. ^{[1
]}

Zabutnaya, V. I. ^{[1
]}

机构：

[1] Dnepropetrovsk Univ Econ & Law, Dnepropetrovsk, Ukraine

来源：

MATHEMATICAL NOTES | 2012年 / 92卷 / 3-4期

关键词：

Jackson-Stechkin type inequality; modulus of continuity; Steklov operator S-h(f); n-width; Fourier series; Minkowski's inequality;

D O I：

10.1134/S0001434612090180

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain sharp Jackson-Stechkin type inequalities for moduli of continuity of kth order Omega (k) in which, instead of the shift operator T (h) f, the Steklov operator S (h) (f) is used. Similar smoothness characteristic of functions were studied earlier in papers of Abilov, Abilova, Kokilashvili, and others. For classes of functions defined by these characteristics, we calculate the exact values of certain n-widths.

引用

页码：458 / 472

页数：15

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