| L~p空间中新推广的Buniakowski-Schwarz不等式 |
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| 引用本文： | 罗俊丽.L~p空间中新推广的Buniakowski-Schwarz不等式[J].西南民族学院学报(自然科学版),2009,35(6):1101-1103. |
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| 作者姓名： | 罗俊丽 |
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| 作者单位： | 商洛学院数学与计算科学系,陕西商洛726000 |
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| 基金项目： | 全国教育科学"十一五"规划重点课题，商洛学院科研基金资助项目 |
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| 摘 要： | 建立L^P函数空间理论所使用的主要工具是Holder积分不等式和Minkowski积分不等式．反之，研究L^P函数空间中的不等式将会极大地推广各种可积函数的整体结构及其相互关系．现在已有研究成果的基础上，讨论了Buniakowski．Schwarz不等式在L^P空间中的推广形式，为进一步研究L^P函数空间的积分理论提供一种新的思想和方法．
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| 关 键 词： | Lp空间 Buniakowski-Schwarz不等式 构造性方法 |
New popularization Buniakowski-Schwarz Inequality of Lp Space |
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| LUO Jun-li.New popularization Buniakowski-Schwarz Inequality of Lp Space[J].Journal of Southwest Nationalities College(Natural Science Edition),2009,35(6):1101-1103. |
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| Authors: | LUO Jun-li |
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| Institution: | LUO Jun-li (Department of Mathematics and Computer Science, ShangluoUniversity, Shangluo 726000, RR.C.) |
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| Abstract: | The main tools used to set up Lp function space theory are HOlder integral inequality and the Minkowski integral inequality. Instead, the study of inequality in L^P function spaces will be great to promote a variety of integrable functions and the overall structure of mutual relations. On the basis of research results, popularization of Buniakowski-Schwarz inequality in L^P space is discussed, and a new thinking and method are provided for further studying integral theory in Lp function space. |
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| Keywords: | L^P space Buniakowski-Schwarz inequality constructive method |
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