| Lipschitz条件下的加权梯形不等式和中点不等式 |
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| 引用本文： | 时统业,董芳芳.Lipschitz条件下的加权梯形不等式和中点不等式[J].数学学习,2022,25(1):64-68. |
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| 作者姓名： | 时统业 董芳芳 |
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| 作者单位： | 海军指挥学院,江苏南京211800 |
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| 摘 要： | 利用与一阶导数有关的积分恒等式,并通过引入参数求最值,在一 阶导函数满足Lipschitz条件的情况下,给出加权梯形不等式和中点不等式.
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| 关 键 词： | 梯形不等式 中点不等式 Lipschitz条件 可微函数 权函数 双边不等式 |
Weighted Trapezoid Inequality and Midpoint Inequality Under Lipschitz Condition |
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| SHI Tongye,DONG Fangfang.Weighted Trapezoid Inequality and Midpoint Inequality Under Lipschitz Condition[J].Studies In College Mathematics,2022,25(1):64-68. |
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| Authors: | SHI Tongye DONG Fangfang |
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| Institution: | (PLA Naval Command College, Nanjing 211800, China) |
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| Abstract: | Weighted trapezoid inequality and midpoint inequality for functions whose first derivatives satisfy Lipschitz condition are obtained by using integral identities involving first derivatives and the method of parameters for the minimum. |
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| Keywords: | trapezoid inequality midpoint inequality Lipschitz condition differentiable function weighted function bilateral inequality |
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