On the Rate of Convergence of Wavelet Expansions

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Authors

  • Varsha Karanjgaokar
     Department of Mathematics, Govt. N.P.G. College of Science, Raipur (C.G.)-492010 ,IN

DOI:

https://doi.org/10.18311/jims/2018/14929

Keywords:

Wavelets, Convergence and Divergence of Series and Sequences, Rate of Convergence.
Probability

Abstract

In this paper we estimate the rate of convergence of wavelet expansion of functions f ∈ Lp, 1 ≤ p ≤ ∞ at a point x. The pointwise and Lp results were obtained by Kelly, S. [4]. Our result generalizes her result.

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Published

2018-01-04

How to Cite

Karanjgaokar, V. (2018). On the Rate of Convergence of Wavelet Expansions. The Journal of the Indian Mathematical Society, 85(1-2), 100–110. https://doi.org/10.18311/jims/2018/14929

Issue

Volume 85, Issue 1-2, January-June 2018

Section

Articles

License

Copyright (c) 2018 Varsha Karanjgaokar

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2017-02-03
Accepted 2017-04-04
Published 2018-01-04

 

References

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Mallat, S., Multiresolution approximations and wavelet orthonormal bases of L2(R), Trans. of the Am.Math.Soc.,315(1989) no.1, 69-87.

Daubechies, I., Ten lectures on wavelets, CBMF-NSF series in applied Mathematics, SIAM,1992.

Kelly, S., Pointwise convergence for wavelet expansions, Ph.D. thesis, Washington University, St. Louis, 1992 .

Ruskai M.B., Beylkin G., Coifman R., Daubechies I., Mallat S., Meyer Y and Raphael L., eds., Wavelets and their applications, Jones and Bartlett, Boston, 1992.

E.C. Titchmarsh, The Theory of Functions, Oxford University Press, Second Edition, 1961.