| Chebyshev不等式和Laplace不等式新的统一推广及其应用 |
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| 引用本文： | 文开庭. Chebyshev不等式和Laplace不等式新的统一推广及其应用[J]. 鞍山科技大学学报, 2004, 27(6): 408-413 |
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| 作者姓名： | 文开庭 |
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| 作者单位： | 毕节师范高等专科学校数学系 贵州毕节 551700 |
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| 摘 要： | 研究了Cebyshev不等式与Laplace不等式离散形式的多数组加权统一推广和多数组指数统一推广，给出Chebyshev不等式和Laplace不等式积分形式的多函数加权指数统一推广，并讨论了推广结果的一些特例和应用。
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| 关 键 词： | Chebyshev不等式 Laplace不等式 似序 反序 |
| 文章编号： | 1672-4410(2004)06-0408-06 |
| 修稿时间： | 2004-07-10 |
New unified generalizations of Chebyshev inequality and Laplace inequality with their applications |
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| WEN Kai_ting. New unified generalizations of Chebyshev inequality and Laplace inequality with their applications[J]. Journal of Anshan University of Science and Technology, 2004, 27(6): 408-413 |
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| Authors: | WEN Kai_ting |
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| Abstract: | Weighted unified generalization and exponential unified generalization of discrete Chebyshev inequality and Laplace inequality for several sets of positive real numbers are studied.Weighted and exponential unified generalizaion of Chebyshev inequality and Laplace inequality in integral form for a set of positve integral funcitons are given.Besides,some special cases and applications of these generalized conclusions are discussed. |
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| Keywords: | Chebyshev inequality Laplace inequality similarly ordered oppositely ordered |
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