Jñānābha, Vol. 51 (1) (2021), (12-18)
ON THE RATE OF CONVERGENCE OF WAVELET FOURIER SERIES
By
Varsha Karanjgaokar
Department of Mathematics,Government N.P.G.College of Science Raipur-492010, Chhattisgarh, India
Email:vardhakar@yahoo.com
Namrata Shrivastav
Government Kavyopadhyay Hiralal College, Abhanpur 493661, Chhattisgarh, India
Email:namrata.shrivastav1902@gmail.com
Snehal Rahatgaonkar
Maharaja Agrasen International College, Raipur 492001, Chhattisgarh, India
Email:snehal.gulkari@gmail.com
(Received : March 17, 2020; Revised: July 30, 2020; In final form : April 08, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51102
Abstract
In this paper we have studied the rate of convergence of Wavelet Fourier series of periodic functions. Our result requires weaker conditions on mother function and scaling function. Thus generalize the result of Skopina [12]. We also generalized the result of Skopina [11] on trigonometric approximation of periodic functions with respect to wavelet basis.
2010 Mathematics Subject Classifications: 42A10, 41A25, 42C40,40A05
Keywords and phrases: Wavelet Fourier series, convergence and divergence of PMRA, Rate of convergence of wavelet series, Approximation of Periodic functions