New upper bounds of Ostrowski type integral inequalities utilizing Taylor expansion

New Weighted Čebyšev–ostrowski Type Integral Inequalities on Time Scales

In this paper we obtain some weighted Čebyšev-Ostrowski type integral inequalities on time scales involving functions whose first derivatives belong to Lp (a,b) (1 p ∞) . We also give some other interesting inequalities as special cases. Mathematics subject classification (2010): 26D15, 26E70.

Integral Inequalities of the Ostrowski Type

Integral inequalities of Ostrowski type are developed for n−times differentiable mappings, with multiple branches, on the L∞ norm. Some particular inequalities are also investigated, which include explicit bounds for perturbed trapezoid, midpoint, Simpson’s, NewtonCotes and left and right rectangle rules. The results obtained provide sharper bounds than those obtained by Dragomir [5] and Cerone...

Some generalized Ostrowski-Grüss type integral inequalities

New Jensen and Ostrowski Type Inequalities for General Lebesgue Integral with Applications

Some new inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral are obtained. Applications for $f$-divergence measure are provided as well.

The Ostrowski Type Moment Integral Inequalities and Moment-Bounds for Continuous Random Variables

We establish Ostrowski type integral inequalities involving moments of a continuous random variable defined on a finite interval. We also derive bounds for moments from these inequalities. Further, we discuss applications of these bounds to the Euler’s beta mappings and illustrate their behaviour. c © 2005 Elsevier Science Ltd. All rights reserved. Keywords—Ostrowski’s inequality, Grüss inequal...