Fourier–Boas-Like Wavelets and Their Vanishing Moments

Leena Kathuria; Shashank Goel; Nikhil Khanna

doi:10.1155/2021/6619551

Journal of Mathematics (Jan 2021)

Fourier–Boas-Like Wavelets and Their Vanishing Moments

Leena Kathuria,
Shashank Goel,
Nikhil Khanna

Affiliations

Leena Kathuria: Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Sector 125, Noida-201313, U.P., India
Shashank Goel: Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Sector 125, Noida-201313, U.P., India
Nikhil Khanna: Department of Mathematics, Motilal Nehru College, University of Delhi, Delhi-110021, India

DOI: https://doi.org/10.1155/2021/6619551
Journal volume & issue: Vol. 2021

Abstract

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In this paper, we propose Fourier–Boas-Like wavelets and obtain sufficient conditions for their higher vanishing moments. A sufficient condition is given to obtain moment formula for such wavelets. Some properties of Fourier–Boas-Like wavelets associated with Riesz projectors are also given. Finally, we formulate a variation diminishing wavelet associated with a Fourier–Boas-Like wavelet.

Published in Journal of Mathematics

ISSN: 2314-4629 (Print); 2314-4785 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/1469

About the journal