%0 Journal Article
%T A generalized Ostrowski-Gr¨¹ss type inequality for bounded differentiable mappings and its applications
%A Sabir Hussain and Ather Qayyum
%J Journal of Inequalities and Applications
%D 2013
%I 
%R 10.1186/1029-242X-2013-1
%X In this paper, we establish a generalized Ostrowski-Gr¨¹ss type inequality for differentiable mappings using the weighted Gr¨¹ss 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.
%K Ostrowski inequality
%K Gr¨¹ss inequality
%K weight function
%K numerical integration
%U http://www.journalofinequalitiesandapplications.com/content/2013/1/1/abstract