On the best L2-approximations of functions by using wavelets

被引：0

作者：

V. F. Babenko

G. S. Zhiganova

机构：

[1] Dnepropetrovsk National University,Institute of Applied Mathematics and Mechanics

[2] Ukrainian National Academy of Sciences,undefined

来源：

Ukrainian Mathematical Journal | 2008年 / 60卷

关键词：

Entire Function; Periodic Function; Trigonometric Polynomial; Exponential Type; Multiresolution Analysis;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We deduce the exact Jackson-type inequalities for the approximations of functions ƒ ∈ L2(ℝ) in L2(ℝ) by using partial sums of wavelet series in the cases of Meyer and Shannon-Kotelnikov wavelets.

引用

页码：1307 / 1317

页数：10

共 10 条

[1]

Korneichuk N. P.(1962)On the exact constant in the Jackson inequality for continuous periodic functions Dokl. Akad. Nauk SSSR 145 514-515

[2]

Chernykh N. I.(1967)On the Jackson inequality in Tr. Mat. Inst. Akad. Nauk SSSR 88 71-74

[3]

Chernykh N. I.(1967)On the best approximation of periodic functions by trigonometric polynomials in Mat. Zametki 2 513-522

[4]

Ibragimov I. I.(1970)Estimation of the best approximation of a summable function on the real axis by entire functions of finite powers Dokl. Akad. Nauk SSSR 194 1113-1116

[5]

Nasibov F. G.(1988)Exact Jackson-type inequalities for periodic functions in the space Mat. Zametki 43 757-769

[6]

Ligun A. A.(1980)Diophantine approximations in extremal problems Dokl. Akad. Nauk SSSR 251 54-57

[7]

Yudin V. A.(1986)On the exact constant in the Jackson inequality in Mat. Zametki 39 651-664

[8]

Babenko A. G.(1995)On the exact constants in the Jackson inequality in the space Ukr. Mat. Zh. 47 108-110

[9]

Volchkov V. V.(2002)On the best polynomial approximations of 2π-periodic functions and exact values of Ukr. Mat. Zh. 54 1603-1615

[10]

Vakarchuk S. B.(undefined)-widths of functional classes in the space undefined undefined undefined-undefined

← 1 →