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...

In this paper we first derive a weighted Montgomery identity on time scales and then establish weighted Ostrowski, trapezoid and Grüss type inequalities on time scales, respectively. These results not only provide a generalization of the known results, but also give some other interesting inequalities on time scales as special cases.

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 weighted Ostrowski type integral inequalities for operators and vector-valued functions in Banach spaces are given. Applications for linear operators in Banach spaces and differential equations are also provided.

Here we derive multivariate weighted fractional representation formulae involving ordinary partial derivatives of …rst order. Then we present related multivariate weighted fractional Ostrowski type inequalities with respect to uniform norm. 2010 AMS Mathematics Subject Classi…cation : 26A33, 26D10, 26D15.

We disprove and correct some recently obtained results regarding Montgomery identity for quantum integral operator Ostrowski type inequalities involving convex functions.

The aim of this paper is to generalize inequality 0096-3 doi:10 * Co E-m f ðxÞ 1 b a Z b a f ðs1Þds1 f ðbÞ f ðaÞ b a x aþ b 2 f 0ðbÞ f 0ðaÞ 2ðb aÞ x 2 ðaþ bÞxþ a 2 þ b þ 4ab 6 6 kf k1 ðb aÞ 3 6 I x a b a obtained in [A. Aglić Aljinović, M. Matić, J. Pečarić, Improvements of some Ostrowski type inequalities, J. Comput. Anal. Appl., in press], and therefore obtain a generalization and improvement...

A general Ostrowski-Grüss type inequality in two dimensions is established. A particular inequality of the same type is also given.