| 局部分数阶积分下关于广义调和s-凸函数的Ostrowski型不等式 |
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| 引用本文： | 孙文兵.局部分数阶积分下关于广义调和s-凸函数的Ostrowski型不等式[J].浙江大学学报(理学版),2018,45(5):555-561. |
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| 作者姓名： | 孙文兵 |
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| 作者单位： | 邵阳学院 理学院, 湖南 邵阳 422000 |
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| 基金项目： | Supported by the National Natural Science Foundations of China(61672356); Shaoyang City Science and Technology Plan Project (2017GX09). |
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| 摘 要： | 基于分形集中局部分数阶微积分理论，建立了一个涉及局部分数阶积分的恒等式.利用此恒等式，得到了一些关于广义调和s-凸函数的推广的Ostrowski型不等式.
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| 关 键 词： | Ostrowski型不等式 广义调和s-凸函数 分形集 局部分数阶积分 |
| 收稿时间： | 2018-01-11 |
Ostrowski type inequalities for generalized harmonically s-convex functions via local fractional integrals |
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| SUN Wenbing.Ostrowski type inequalities for generalized harmonically s-convex functions via local fractional integrals[J].Journal of Zhejiang University(Sciences Edition),2018,45(5):555-561. |
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| Authors: | SUN Wenbing |
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| Institution: | School of Science, Shaoyang University, Shaoyang 422000, Hunan Province, China |
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| Abstract: | Based on the theory of local fractional calculus on fractal sets, the author established an identity involving local fractional integrals. Using the identity, some generalized Ostrowski type inequalities for generalized harmonically s-convex functions were obtained. |
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| Keywords: | Ostrowski type inequality generalized harmonically s-convex function fractal set local fractional integral |
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