Wirtinger-type integral inequalities

Wirtinger Inequalities , Cayley 4 - Form , and Homotopy

We study optimal curvature-free inequalities of the type discovered by C. Loewner and M. Gromov, using a generalisation of the Wirtinger inequality for the comass. Using a model for the classifying space BS built inductively out of BS, we prove that the symmetric metrics of certain two-point homogeneous manifolds turn out not to be the systolically optimal metrics on those manifolds. We point o...

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.

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...