A result of extending Radon's inequality and its application
WU Shan-he
Abstract
WU Shan-he
Abstract
In this paper,the exponential generalization of the Radon's inequality is established by using Hlder'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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In this paper,the exponential generalization of the Radon's inequality is established by using Hlder'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