Some Results on Approximations using Boas Transform of Wavelets

Authors

  • Leena Kathuria
  • Shashank Goel
  • Nikhil Khanna
  • S. K. Kaushik

Keywords:

Boas transform; wavelets; approximation; vanishing moments.

Abstract

The present paper aims to approximate functions belonging to the class L2(R), using Boas transform of wavelets. We exhibit that H¨older continuity of a function plays a crucial role in the decay of wavelet coefficients and thus assists in approximating it. Further, we give sufficient conditions for uniform approximation of wavelet coefficients of square integrable function.

Key words and phrases. Boas transform; wavelets; approximation; vanishing moments.

2010 Mathematics Subject Classification. 42C40; 44A15; 41A35

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Published

2025-05-18

How to Cite

Leena Kathuria, Shashank Goel, Nikhil Khanna, & S. K. Kaushik. (2025). Some Results on Approximations using Boas Transform of Wavelets. Jordan Journal of Mathematics and Statistics, 16(2), 269–284. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/677

Issue

Vol. 16 No. 2 (2023)

Section

Articles