Chebyshev Wavelet Analysis-Reference-Cited by-同舟云学术

Chebyshev Wavelet Analysis

Published:2022-06-30 Issue: Volume:2022 Page:1-17
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Guariglia Emanuel¹^ORCID,Guido Rodrigo Capobianco¹^ORCID

Affiliation:

1. Institute of Biosciences, Letters and Exact Sciences, São Paulo State University (UNESP), Rua Cristóvão Colombo 2265, 15054-000 São José do Rio Preto, SP, Brazil

Abstract

This paper deals with Chebyshev wavelets. We analyze their properties computing their Fourier transform. Moreover, we discuss the differential properties of Chebyshev wavelets due to the connection coefficients. Uniform convergence of Chebyshev wavelets and their approximation error allow us to provide rigorous proofs. In particular, we expand the mother wavelet in Taylor series with an application both in fractional calculus and fractal geometry. Finally, we give two examples concerning the main properties proved.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/5542054.pdf

Reference38 articles.

1. Wavelets in Electromagnetics and Device Modeling

2. Image Processing and Analysis

3. Fractional-wavelet analysis of positive definite distributions and wavelets on D′ℂ;E. Guariglia,2017

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