Reverse Hilbert's type integral inequalities

On reverse Hilbert-type inequalities

*Correspondence: [email protected] 1School of Mathematical Science, Huaibei Normal University, Huaibei, 235000, P.R. China Full list of author information is available at the end of the article Abstract By introducing two pairs of conjugate exponents and estimating the weight coefficients, we establish reverse versions of Hilbert-type inequalities, as described by Jin (J. Math. Anal. Appl. 340:...

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...