APPROXIMATION OF FUNCTION IN BESOV SPACE USING EULER HAUSDORFF PRODUCT MEANS
By
Santosh Kumar Sinha¹ , U.K.Shrivastava² , Vishnu Narayan Mishra³ and Omprakash Dewangan⁴
Department of Mathematics
¹Lakhmi Chand Institute of Technology Bilaspur, Chhattisgarh, India-495001
²Govt. E.R.R. Postgraduate Science College Bilaspur, Chhattisgarh, India-495001
³Indra Gandhi National Tribal University, Lalpur Amarkantak Anuppur, Madhya Pradesh, India-484887
⁴Indra Gandhi Government College Pandaria, Distt. Kabirdham, Chhattisgarh, India-491559
Email: santosh.sinha@lcit.edu.in, profumesh18@yahoo.co.in, vnm@igntu.ac.in, omidewangan26@gmail.com
(Received: January 20, 2023; In format: May 29, 2023; Revised: April 02, 2024; Accepted: April 19, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54130
Abstract
In this paper, we study the degree of approximation of function in Besov space using Euler Hausdorff product means of Fourier Series and we also deduce some corollaries of our main result.
2020 Mathematical Sciences Classification: 41A10 , 41A25 , 42B05 , 42A50
Keywords and Phrases: Degree of approximation, Besov space, Euler mean, Hausdorff mean, Euler Hausdorff mean.