Work

A generalized Ostrowski-Grüss type inequality for bounded differentiable mappings and its applications

Year: 2013

Type: article

Abstract: In this paper, we establish a generalized Ostrowski-Grüss type inequality for differentiable mappings using the weighted Grüss inequality which is another generalization of inequalities established and discussed by Barnett et al. (Inequality theory and applications, pp. 24-30, 2001), S. S. Dragomir and S. Wang (Comput. Math. Appl. 33:15-22, 1997) and A. Rafiq et al. (JIPAM. J. Inequal. Pure Appl. Math. 7(4):124, 2006). Perturbed midpoint and trapezoid inequalities are obtained. Some applications in different weights are given. This inequality is extended to account for applications in numerical integration.

Source: Journal of Inequalities and Applications

DOI: 10.1186/1029-242x-2013-1

Authors: Sabir Hussain, Ather Qayyum

Institutions: Yanbu University College, University of Ha'il

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

OpenAlex ID: W2139031797

FWCI: 18.56

Cites: 11

Cited by: 149

Related to: 10