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. 

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