On some Opial-type inequalities
1 Department of Mathematics, China Jiliang University, Hangzhou 310018, PR China
2 Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong
Journal of Inequalities and Applications 2011, 2011:7 doi:10.1186/1029-242X-2011-7Published: 17 June 2011
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 and also provide new estimates on inequalities of this type.
MR (2000) Subject Classification 26D15