Generalizations of Refined Hölder’s Inequalities and Their Applications-Reference-Cited by-同舟云学术

Generalizations of Refined Hölder’s Inequalities and Their Applications

Published:2014 Issue: Volume:2014 Page:1-11
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Tian Jingfeng¹^ORCID,Wang Wen-Li²

Affiliation:

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

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

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2014/581962.pdf

Reference19 articles.

1. Generalizations of Hölder inequalities for Csiszar’s f-divergence

2. A difference counterpart to a matrix Hölder inequality

3. Reversed version of a generalized sharp Hölder’s inequality and its applications

4. A New Reversed Version of a Generalized Sharp Hölder's Inequality and Its Applications

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