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- Title
LINEAR AND NON-LINEAR WAVELET APPROXIMATIONS OF FUNCTIONS OF LIPSCHITZ CLASS AND RELATED CLASSES USING THE HAAR WAVELET SERIES.
- Authors
Kumar, Susheel
- Abstract
In this paper, linear wavelet approximation of a functions f belonging to Lipξ, and Lip(ξ, p), 1 ≤ p < ∞, have been determined by using Haar scaling function and Haar wavelet series. A non-linear wavelet approximation of function belonging L² (R) and Lipα class has been obtained. The comparison of the order of linear and non-linear approximations have been studied. It is observed that a non-linear approximation error is better and sharper than linear approximation error.
- Subjects
HAAR function; APPROXIMATION error; LINEAR orderings; WAVELETS (Mathematics); LIPS
- Publication
Journal of Ramanujan Society of Mathematics & Mathematical Sciences, 2023, Vol 10, Issue 2, p161
- ISSN
2319-1023
- Publication type
Article
- DOI
10.56827/JRSMMS.2023.1002.12