Some properties of the $\alpha$-Chebyshev wavelets approximation with H$\ddot{O}$lder function

Document Type : Original Article

Authors
H. Mazaheri 1 ΒΆ
A. W. Safi 1
M Kalantary 2
1 Yazd University
2 Department of Mathematics Science, Yazd University,Yazd, Iran
10.22034/maco.5.2.5
Abstract
In this paper, we consider $\alpha-$Chebyshev polynomials, $\alpha-$Chebyshev wavelet approximation and h$\ddot{o}$lder of order $l$. We estimate $\alpha-$Chebyshev-wavelet approximation of a function $f$ having satisfy condition h$\ddot{o}$lder where $f$ is expanded in terms of $\alpha-$Chebyshev wavelet polynomials.

In this paper, we consider $\alpha-$Chebyshev polynomials, $\alpha-$Chebyshev wavelet approximation and h$\ddot{o}$lder of order $l$. We estimate $\alpha-$Chebyshev-wavelet approximation of a function $f$ having satisfy condition h$\ddot{o}$lder where $f$ is expanded in terms of $\alpha-$Chebyshev wavelet polynomials.


In this paper, we consider $\alpha-$Chebyshev polynomials, $\alpha-$Chebyshev wavelet approximation and h$\ddot{o}$lder of order $l$. We estimate $\alpha-$Chebyshev-wavelet approximation of a function $f$ having satisfy condtion h$\ddot{o}$derl where $f$ is expanded in terms of $\alpha-$Chebyshev wavelet polynomials.

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Mathematical Analysis and Convex Optimization
Volume 5, Issue 2
December 2025