| 关于Banach空间中的向量值的Bochner积分型的广义Jensen不等式 |
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| 引用本文： | 姚云飞.关于Banach空间中的向量值的Bochner积分型的广义Jensen不等式[J].高校应用数学学报(A辑),1998,13(2):203-208. |
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| 作者姓名： | 姚云飞 |
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| 作者单位： | 阜阳师范学院数学系 |
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| 摘 要： | 李泽民(1990)将R^n中的极值问题的Kuhu-Tucker条件推广到了线性拓扑空间中的向量极值问题．本文作者从另一角度，以锥为工具，把在概率论与鞅论等学科有着广泛应用的R中的著名的Jensen不等式推广到序Banach空间，导出向量值的Bochner积分型的广义Jensen不等式，从而推广了前人的工作．
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| 关 键 词： | 凸映射 Gateaux可微 测度空间 闭线性算子 |
ON THE VECTOR VALUED GENERALIZED JENSEN'S INEQUALITY OF BOCHNER INTEGRAL IN THE BANACH SPACES |
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| Yao Yunfei.ON THE VECTOR VALUED GENERALIZED JENSEN''''S INEQUALITY OF BOCHNER INTEGRAL IN THE BANACH SPACES[J].Applied Mathematics A Journal of Chinese Universities,1998,13(2):203-208. |
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| Authors: | Yao Yunfei |
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| Abstract: | In this paper, the well known Jensen's inequality is generalized in the ordered Banach spaces by means of convex cone. On its basis, vector valued generalized Jensen's inequality of Bochner integral is obtained. |
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| Keywords: | Convex Mapping Gateaux Defferentiable Measure Spaces Closed Linear Operator |
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