Generalizations of Refined Hölder’s Inequalities and Their ApplicationsReport as inadecuate




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Mathematical Problems in Engineering - Volume 2014 2014, Article ID 581962, 11 pages -

Research Article

College of Science and Technology, North China Electric Power University, Baoding, Hebei 071051, China

Department of Information Engineering, China University of Geosciences Great Wall College, Baoding 071000, China

Received 15 May 2014; Accepted 16 September 2014; Published 30 October 2014

Academic Editor: Ashraf M. Zenkour

Copyright © 2014 Jingfeng Tian and Wen-Li Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present several new generalized versions of refined Hölder’s inequalities proposed by Tian and Hu. And then we obtained some new generalized and sharp versions of Hölder’s inequalities. As the applications, the obtained results are used to improve Aczél-Popoviciu type inequality and Aczél-Vasić-Pečarić inequality.





Author: Jingfeng Tian and Wen-Li Wang

Source: https://www.hindawi.com/



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