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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 71 | Issue 8 | Year 2025 | Article Id. IJMTT-V71I8P101 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I8P101

On Wavelet Approximation of Functions Belonging to Generalized Lipschitz Class Using Haar Scaling Function


Jitendra Kumar Kushwaha, Ajay
Received Revised Accepted Published
09 Jun 2025 15 Jul 2025 01 Aug 2025 13 Aug 2025
Citation :

Jitendra Kumar Kushwaha, Ajay, "On Wavelet Approximation of Functions Belonging to Generalized Lipschitz Class Using Haar Scaling Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 8, pp. 1-8, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I8P101

Abstract

The degree of approximation of functions belonging to certain classes by using wavelet techniques is quite interesting in the present scenario. People working in this direction have used the Haar wavelet method in their investigations. But no work seems to have been done so far to find an approximation of functions ๐‘“๐œ–๐ฟ๐‘–๐‘๐›ผ๐‘,๐œ“ to find the degree of approximation using the Haar wavelet method. Therefore, in this paper, two new theorems on wavelet approximation of the functions, ๐‘๐›ผ๐‘,๐œ“ , 0<๐›ผโ‰ค1,1โ‰ค๐‘<โˆž, have been established.

Keywords
Generalized Lipschitz class, Haar Wavelet, Multiresolution Analysis, Wavelet approximation.
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