Approximation results for beta Jakimovski-Leviatan type operators via q-analogue-Reference-Cited by-同舟云学术

Approximation results for beta Jakimovski-Leviatan type operators via q-analogue

Published:2023 Issue:24 Volume:37 Page:8389-8404
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Nasiruzzaman Md.¹,Tom Mohammed¹,Serra-Capizzano Stefano²,Rao Nadeem³,Ayman-Mursaleen Mohammad⁴

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia

2. Department of Science & High Technology, University of Insubria, Via Valleggio, Como, Italy + Department of Information Technology, Division of Scientific Computing, Uppsala University, L Gerhyddsv. Hus, Uppsala, Sweden

3. Department of Mathematics, University Center for Research & Developement, Chandigarh University, Mohali, Punjab, India

4. School of Information & Physical Sciences, The University of Newcastle, University Drive, Callaghan, Australia

Abstract

We construct a new version of q-Jakimovski-Leviatan type integral operators and show that set of all continuous functions f defined on [0,?) are uniformly approximated by our new operators. Finally we construct the Stancu type operators and obtain approximation properties in weighted spaces. Moreover, with the aid of modulus of continuity we discuss the rate of convergence, Lipschitz type maximal approximation and some direct theorems.

Publisher

National Library of Serbia

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