关于小波型Bernstein算子

IF 1 Q1 MATHEMATICS

Carpathian Mathematical Publications Pub Date : 2023-06-29 DOI:10.15330/cmp.15.1.212-221

H. Karsli

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引用次数: 1

摘要

本文利用给定函数f的紧支持多贝希小波构造和研究了小波型Bernstein算子。在这个构造中使用的基础是函数f的小波展开，而不是它的合理采样值f\big(\frac{k}{n}\big)。然后，我们研究了这些算子在某些函数空间中的一些性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On wavelet type Bernstein operators

This paper deals with construction and studying wavelet type Bernstein operators by using the compactly supported Daubechies wavelets of the given function $f$. The basis used in this construction is the wavelet expansion of the function $f$ instead of its rational sampling values $f\big( \frac{k}{n}\big)$. After that, we investigate some properties of these operators in some function spaces.

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来源期刊

Carpathian Mathematical Publications MATHEMATICS-

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

25 weeks