Some Refinements and Generalizations of I. Schur Type Inequalities. (16th March 2014)

• Record Type: Journal Article
• Authors: Gu, Xian-Ming; Huang, Ting-Zhu; Xu, Wei-Ru; Li, Hou-Biao; Li, Liang; Zhao, Xi-Le
• Other Names: Acedo L. Academic Editor.; Chu Y.-M. Academic Editor.; Guo B.-N. Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2014(2014)
• Publication Date: 2014-03-16
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2014/709358
• Languages: English
• ISSNs: 2356-6140

Abstract

Abstract : Recently, extensive researches on estimating the value of e have been studied. In this paper, the structural characteristics of I. Schur type inequalities are exploited to generalize the corresponding inequalities by variable parameter techniques. Some novel upper and lower bounds for the I. Schur inequality have also been obtained and the upper bounds may be obtained with the help of Maple and automated proving package ( Bottema ). Numerical examples are employed to demonstrate the reliability of the approximation of these new upper and lower bounds, which improve some known results in the recent literature.