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浙江大学学报（理学版）
浙江大学学报（理学版）  2018, Vol. 45 Issue (5): 555-561    DOI: 10.3785/j.issn.1008-9497.2018.05.007
数学与计算机科学     
局部分数阶积分下关于广义调和s-凸函数的Ostrowski型不等式
孙文兵
邵阳学院 理学院, 湖南 邵阳 422000
Ostrowski type inequalities for generalized harmonically s-convex functions via local fractional integrals
SUN Wenbing
School of Science, Shaoyang University, Shaoyang 422000, Hunan Province, China
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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.
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    
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.
Key words: Ostrowski type inequality    generalized harmonically s-convex function    fractal set    local fractional integral
收稿日期: 2018-01-11 出版日期: 2018-09-12
CLC:  O178  
基金资助: Supported by the National Natural Science Foundations of China(61672356); Shaoyang City Science and Technology Plan Project (2017GX09).
作者简介: 孙文兵(1978-),ORCID:http://orcid.org/0000-0002-5673-4519,male,master,associate professor,the field of interest is analytic inequality.
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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.

SUN Wenbing. Ostrowski type inequalities for generalized harmonically s-convex functions via local fractional integrals. Journal of ZheJIang University(Science Edition), 2018, 45(5): 555-561.

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https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2018.05.007    或    https://www.zjujournals.com/sci/CN/Y2018/V45/I5/555

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