2004Journal of Guizhou Normal UniversityRequires access

A result of extending Radon's inequality and its application

WU Shan-he

Open publisher page 1 citations

Abstract

In this paper,the exponential generalization of the Radon's inequality is established by using Hlder's inequality and W.H.Young's inequality and mean value inequality.It is of great value to us.Moreover,the writer points out that the result about the generalization of Radon's inequality in paper[6]is wrong.At the end of this paper a correct result about the generalized inequality is given.

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What this paper is about

In this paper,the exponential generalization of the Radon's inequality is established by using Hlder's inequality and W.H.Young's inequality and mean value inequality.It is of great value to us.Moreover,the writer points out that the result about the generalization of Radon's inequality in paper[6]is wrong.At the end of this paper a correct result about the generalized inequality is given.

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Available abstract

In this paper,the exponential generalization of the Radon's inequality is established by using Hlder's inequality and W.H.Young's inequality and mean value inequality.It is of great value to us.Moreover,the writer points out that the result about the generalization of Radon's inequality in paper[6]is wrong.At the end of this paper a correct result about the generalized inequality is given.

Key concepts: Inequality, Generalization, Mathematics, Value (mathematics), Rearrangement inequality, Log sum inequality, Kantorovich inequality, Radon

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