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浙江大学学报（理学版）
Journal of Zhejiang University (Science Edition)  2021, Vol. 48 Issue (5): 544-549    DOI: 10.3785/j.issn.1008-9497.2021.05.004
Mathematics and Computer Science     
Some local fractional integral inequalities and bounded estimates of generalized moments
ZHENG Aimin1, SUN Wenbing2
1.School of Accounting, Shaoyang University, Shaoyang 422000, Hunan Province, China
2.School of Science, Shaoyang University, Shaoyang 422000, Hunan Province, China
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Abstract  Some Hermite-Hadamard type integral inequalities for generalized h-convex function and Ostrowski-?eby?ev inequalities are established on Yang fractal sets by using local fractional calculus as research tool. Based on these two kinds of generalized integral inequalities, the estimates of the upper and lower bounds of the generalized moments of continuous random variables are constructed.

Received: 07 May 2020      Published: 15 September 2021
CLC:  O 178  
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E-mail this article h-convex function|Hermite-Hadamard type integral inequality|generalized Ostrowski-?eby?ev type inequality|generalized moment”. Please open it by linking:https://www.zjujournals.com/sci/EN/abstract/abstract42101.shtml" name="neirong"> h-convex function|Hermite-Hadamard type integral inequality|generalized Ostrowski-?eby?ev type inequality|generalized moment">
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ZHENG Aimin
SUN Wenbing
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ZHENG Aimin, SUN Wenbing. Some local fractional integral inequalities and bounded estimates of generalized moments. Journal of Zhejiang University (Science Edition), 2021, 48(5): 544-549.

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https://www.zjujournals.com/sci/EN/Y2021/V48/I5/544


几个局部分数阶积分不等式与广义矩的有界估计

在Yang分形集上以局部分数阶微积分为研究工具，建立了关于广义h-凸函数的 Hermite-Hadamard型积分不等式和广义Ostrowski-?eby?ev型不等式。依托这两类广义积分不等式，构建了连续型随机变量广义矩的上下界估计。

关键词： 局部分数阶微积分 
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[2] Minghui YOU. On the construction of a class of half-discrete Hilbert-type inequalities[J]. Journal of Zhejiang University (Science Edition), 2022, 49(4): 422-426.
[3] Wenbing SUN,Wenping XIE. Some fractional integrals inequalities for h-preinvex functions and applications to numerical integration[J]. Journal of Zhejiang University (Science Edition), 2022, 49(3): 308-315.