Some results on approximations using Boas transform of wavelets

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

doi:10.47013/16.2.6

Some results on approximations using Boas transform of wavelets

Leena Kathuria^*, Shashank Goel, Nikhil Khanna, S. K. Kaushik

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The present paper aims to approximate functions belonging to the class L2(R), using Boas transform of wavelets. We exhibit that Hölder 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.

Original language	English
Pages (from-to)	269-284
Number of pages	16
Journal	Jordan Journal of Mathematics and Statistics
Volume	16
Issue number	2
DOIs	https://doi.org/10.47013/16.2.6
Publication status	Published - Jun 2023

Keywords

Boas transform
approximation
vanishing moments
wavelets

ASJC Scopus subject areas

Applied Mathematics
Mathematics (miscellaneous)
Statistics and Probability

Access to Document

10.47013/16.2.6

Cite this

@article{92c4d5d3efc742d1a423588c7e0907ff,

title = "Some results on approximations using Boas transform of wavelets",

abstract = "The present paper aims to approximate functions belonging to the class L2(R), using Boas transform of wavelets. We exhibit that H{\"o}lder 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.",

keywords = "Boas transform, approximation, vanishing moments, wavelets",

author = "Leena Kathuria and Shashank Goel and Nikhil Khanna and Kaushik, {S. K.}",

year = "2023",

month = jun,

doi = "10.47013/16.2.6",

language = "English",

volume = "16",

pages = "269--284",

journal = "Jordan Journal of Mathematics and Statistics",

issn = "2075-7905",

publisher = "Yarmouk University",

number = "2",

}

TY - JOUR

T1 - Some results on approximations using Boas transform of wavelets

AU - Kathuria, Leena

AU - Goel, Shashank

AU - Khanna, Nikhil

AU - Kaushik, S. K.

PY - 2023/6

Y1 - 2023/6

N2 - The present paper aims to approximate functions belonging to the class L2(R), using Boas transform of wavelets. We exhibit that Hölder 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.

AB - The present paper aims to approximate functions belonging to the class L2(R), using Boas transform of wavelets. We exhibit that Hölder 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.

KW - Boas transform

KW - approximation

KW - vanishing moments

KW - wavelets

UR - http://www.scopus.com/inward/record.url?scp=85170845589&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85170845589&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/aebd9dd0-07f7-3574-a5bf-52c237d126e1/

U2 - 10.47013/16.2.6

DO - 10.47013/16.2.6

M3 - Article

SN - 2075-7905

VL - 16

SP - 269

EP - 284

JO - Jordan Journal of Mathematics and Statistics

JF - Jordan Journal of Mathematics and Statistics

IS - 2

ER -

Some results on approximations using Boas transform of wavelets

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this