2013Journal of North University of ChinaRequires access

The Generalization of Minkowski Inequality in Two Form

Qiao Jian-bin

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Abstract

In order to expand the function of important inequality and perfect theory of inequality,two corresponding forms of Holder inequality were regarded as the tools,on the basis of specialized discrete form and integral form of Minkowski inequality.Specifically,this expanded discrete form of Minkowski inequality from two arrays to n arrays and increased integral form of Minkowski inequality from two functions to n functions.As a result,the general conclusions were obtained.

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In order to expand the function of important inequality and perfect theory of inequality,two corresponding forms of Holder inequality were regarded as the tools,on the basis of specialized discrete form and integral form of Minkowski inequality.Specifically,this expanded discrete form of Minkowski inequality from two arrays to n arrays and increased integral form of Minkowski inequality from two functions to n functions.As a result,the general conclusions were obtained.

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Available abstract

In order to expand the function of important inequality and perfect theory of inequality,two corresponding forms of Holder inequality were regarded as the tools,on the basis of specialized discrete form and integral form of Minkowski inequality.Specifically,this expanded discrete form of Minkowski inequality from two arrays to n arrays and increased integral form of Minkowski inequality from two functions to n functions.As a result,the general conclusions were obtained.

Key concepts: Minkowski inequality, Mathematics, Hölder's inequality, Minkowski space, Kantorovich inequality, Generalization, Inequality, Rearrangement inequality

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