... xiFhi−1isifisiβidsi1/βi.2.5 The proof is complete.Hindawi Publishing CorporationJournal of Inequalities and ApplicationsVolume 2010, Article ID 820857, 7 pagesdoi:10.1155/2010/820857 Research Article On Hilbert-Pachpatte ... Jiliang University,Hangzhou 310018, China2Department of Mathematics, The University of Hong Kong, Pokfulam Road,Hong Kong, ChinaCorrespondence should be addressed to Changjian Zhao, chjzhao@163.comReceived ... is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, andreproduction in any medium, provided the original work...