Estimates for weighted Ostrowski–Grüss type inequalities with applications-Reference-Cited by-同舟云学术

Estimates for weighted Ostrowski–Grüss type inequalities with applications

Published:2022-06-29 Issue:3 Volume:42 Page:159-169
ISSN:0174-4747
Container-title:Analysis
language:en
Short-container-title:

Author:

Shaikh Muhammad Awais¹,Khan Asif R.¹,Mehmood Faraz²

Affiliation:

1. Department of Mathematics , University of Karachi , University Road , Karachi - 75270 , Pakistan

2. Department of Mathematics , Dawood University of Engineering and Technology , New M. A Jinnah Road , Karachi - 74800 , Pakistan

Abstract

Abstract In the present paper, some error bounds for weighted Ostrowski–Grüss type inequalities are found by using the weighted Čebyšev functional and Diaz–Metcalf inequality. These bounds give some better and new estimates. Applications are also obtained for numerical integration. Furthermore, this paper recaptures some previous established results as its special cases.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anly-2021-0044/pdf

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