... pagesdoi:10.1155/2011/913403 Research Article Notes on Interpolation InequalitiesJiu-Gang Dong1 and Ti-Jun Xiao21Department of Mathematics, University of Science and Technology of China, Hefei 230026, China2Shanghai ... 2011 J G. Dong and T J. Xiao. This is an open access article distributed underthe Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, ... inequality.1. IntroductionIt is well known that various interpolation inequalities play an important role in the study of operational equations, partial differential equations, and variation problems see,...