Moduli of continuity of functions in Holder’s class by First kind Chebyshev Wavelets and Its Applications in the Solution of Lane-Emden Differential Equations

Authors

  • Shyam Lal Banaras Hindu University, Varanasi
  • Deepak Kumar Singh Banaras Hindu University, Varanasi

DOI:

https://doi.org/10.23755/rm.v47i0.794

Keywords:

Chebyshev Wavelet, Modulus of Continuity, Chebyshev Wavelet Approximation, Function of H¨older’s class, Orthonormal basis, operational matrix of integration for first kind Chebyshev wavelet

Abstract

In this paper , two new moduli of continuityand two estimators E2k−1,0 and,E2k−1,M of a functions f in H¨older’s class Hα,2ωk [0, 1) by First kind Chebyshev Wavelets have been determined. These moduli of continuity and estimators are new and best possible in wavelet analysis. Applying this technique ,Lane -Emden differential equations have been solved by first kind Chebyshev wavelet method.These solutions obtained by first kind Chebyshev wavelet method are approximately coincided with their exact solutions. This is a significant achievement of this research paper in wavelet analysis.

Author Biographies

  • Shyam Lal, Banaras Hindu University, Varanasi
    Department of Mathematics
  • Deepak Kumar Singh, Banaras Hindu University, Varanasi
    Department of Mathematics

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Published

2023-06-30

Issue

Vol. 47 (2023)

Section

Volume 47-2023

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