Coapproximation Wavelet Using Hermite Wavelets and Haar Wavelets

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2025-02-03 DOI:10.1007/s40995-024-01772-z

H. Mazaheri, M. Kalantari, S. M. Jesmani

引用次数: 0

Abstract

In this paper, we consider wavelet coapproximation in Hermite wavelets and Haar wavelets. At first, we define wavelet coapproximation of a function with concerning a set. We show that if the series \(\sum _{n=0}^{\infty }\sum _{m=0}^{\infty }|t_{n,m}|^2\) is convergent, then there exists a wavelet coapproximation for a set.

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利用Hermite小波和Haar小波的共逼近小波

本文研究了厄米特小波和哈尔小波中的小波共逼近。首先，我们定义了关于一个集合的函数的小波共逼近。我们证明了如果级数\(\sum _{n=0}^{\infty }\sum _{m=0}^{\infty }|t_{n,m}|^2\)是收敛的，那么对于一个集合存在一个小波共逼近。

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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来源期刊

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences