Fractional Differentiation and Wavelet Analysis

Authors

  • Lal Chandra  Department of Mathematics, Nehru Gram Bharati (Deemed To Be University), Allahabad, India
  • Ganga Prasad Yadav  Department of Mathematics, Nehru Gram Bharati (Deemed To Be University), Allahabad, India

DOI:

https://doi.org//10.32628/IJSRSET207424

Keywords:

Inner Product, Fourier Transformation, Orthonormal Basis, Fractional Differentiation.

Abstract

In general we know that there are many basis of L^2 (R) space, in which some can be written in the terms of sin(x) and cos(x). Another way of producing an orthonormal basis from single function involves translations and modulation. In this paper we discuss to construction an orthonormal basis of L^2 (R) from given basis with help of fractional differentiation which is different from parent basis.

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2020-08-30

Issue

Volume 7, Issue 4, July-August-2020

Section

Research Articles

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

How to Cite

[1]
Lal Chandra, Ganga Prasad Yadav, " Fractional Differentiation and Wavelet Analysis, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 7, Issue 4, pp.107-112, July-August-2020. Available at doi : https://doi.org/10.32628/IJSRSET207424