The purpose of this paper is to provide novel estimates of Ostrowski-type inequalities in a
much simpler and shorter way of some recent significant results in the context of a fractal set …

A companion of the generalized trapezoid inequality and applications Page 4 Journal of
Mathematics and Applications JMA No 36, pp 5-15 (2013) COPYRIGHT c by Publishing …

In this paper, generalizations of weighted Ostrowski inequality are derived by using moment
generating functions in bounded variation, L∞ and Lp spaces. Applications to composite …

Boole's type rules are obtained. Some related inequalities of Ostrowski's type are pointed
out. These results are obtained for map**s of bounded variation, Lipschitzian, and …

arxiv:1207.3861v1 [math.FA] 17 Jul 2012 Page 1 arxiv:1207.3861v1 [math.FA] 17 Jul 2012 A
REFINEMENT OF THE COMPANION OF OSTROWSKI INEQUALITY FOR FUNCTIONS OF …

The purpose of this paper is to establish an improved version of companion of ostrowskihs
type integral inequality. The inequalities are obtained by using newly developed special …

The finite Hilbert transform plays an important role in scientific and engineering computing.
By using a companion of Ostrowski's inequality for function of bounded variation, we give …

In this paper, based on the quadratic kernel function with three sections, which was defined
by Liu in 2009, we establish some companions of perturbed Ostrowski-type inequalities for …

I. INTRODUCTION In 1938, Ostrowski established a very interesting inequality for
differentiable map**s with bounded derivatives, as follows: Theorem 1 Let f: I⊂ R→ R be …

The finite Hilbert transform is a helpful tool in fields like aerodynamics, the theory of
elasticity, and other areas of the engineering sciences. In this paper, by using some …