广义Hilbert空间中几何凸函数的几个定理及其应用 Properties of Geometrically Convex Function in Generalized Hilbert Spaces and Its Applications期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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广义Hilbert空间中几何凸函数的几个定理及其应用

引用本文：	罗德斌,周军.广义Hilbert空间中几何凸函数的几个定理及其应用[J].数学的实践与认识,2010,40(19).

作者姓名：	罗德斌周军

摘要：	研究广义Hilbert空间中几何凸函数的性质,给出一些重要定理,并运用几何凸函数的Jensen不等式建立了三重的双参数Hlder不等式和三重的多参数Minkowski不等式.
关键词：	广义Hilbert空间几何凸函数三重的双参数Hlder不等式
Properties of Geometrically Convex Function in Generalized Hilbert Spaces and Its Applications

LOU De-bin,ZHOU Jun.Properties of Geometrically Convex Function in Generalized Hilbert Spaces and Its Applications[J].Mathematics in Practice and Theory,2010,40(19).

Authors:	LOU De-bin ZHOU Jun

Abstract:	In this paper,properties of geometrically convex function in generalized Hilbert spaces are studied and some important results are given.Then we use Jensen inequality of geometrically convex function to establish the triple H lder inequality with two parameters and the triple Minkowski inequality with multi- parameters.

Keywords:	generalized Hilbert space geometrically convex function triple Hlder inequality with two parameters
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