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Karanjgaokar, Varsha
- On the Rate of Convergence of Wavelet Expansions
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1 Department of Mathematics, Govt. N.P.G. College of Science, Raipur (C.G.)-492010, IN
1 Department of Mathematics, Govt. N.P.G. College of Science, Raipur (C.G.)-492010, IN
Source
The Journal of the Indian Mathematical Society, Vol 85, No 1-2 (2018), Pagination: 100-110Abstract
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.Keywords
Wavelets, Convergence and Divergence of Series and Sequences, Rate of Convergence.References
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- 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.