Pachpatte's type integral inequalities with integral impulses

Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations

László Horváth Department of Mathematics, University of Pannonia, Egyetem u. 10, 8200 Veszprém, Hungary Correspondence should be addressed to László Horváth, [email protected] Received 2 February 2009; Accepted 23 June 2009 Recommended by Alberto Cabada We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant gen...

Some generalized Ostrowski-Grüss type integral inequalities

Some Multi–dimensional Hardy Type Integral Inequalities

In this paper we prove some new results concerning multi-dimensional Hardy type integral inequalities and also some corresponding limit Pólya–Knopp type inequalities.

On Opial–type Integral Inequalities and Applications

In the present paper we establish some new Opial-type inequalities involving higher order partial derivatives. Our results in special cases yield some of the recent results on Opial’s inequality. As application, we prove the uniqueness of the solution of initial value problem involving higher order partial differential equation. Mathematics subject classification (2010): 26D15.

More on Some Hardy Type Integral Inequalities

In 2012, W. T. Sulaiman presented new kinds of Hardy’s integral inequalities. In this paper, we derive some new extensions of the famous Hardy’s integral inequality. The results present direct generalization of the original Hardy inequality. In addition, the corresponding reverse relation is also obtained.