Some sharp integral inequalities involving partial derivatives
1 Department of Mathematics, China Jiliang University, Hangzhou 310018, P. R. China
2 Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong
3 Str. Hărmanului 6, 505600 Săcele-Négyfalu, Jud. Braşov, Romania
Journal of Inequalities and Applications 2012, 2012:109 doi:10.1186/1029-242X-2012-109Published: 18 May 2012
The main purpose of the present article is to establish some new sharp integral inequalities in 2n independent variables. Our results in special cases yield some of the recent results on Pachpatter, Agarwal and Sheng's inequalities and provide some new estimates on such types of inequalities.
Mathematics Subject Classification 2000: 26D15.