局部分数阶积分下关于广义调和s-凸函数的Ostrowski型不等式(Ostrowski type inequalities for generalized harmonically s-convex functions via local fractional integrals)

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.

Bibliographic Details
Main Author: SUNWenbing(孙文兵)
Format: Article
Language:zho
Published: Zhejiang University Press 2018-09-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2018.05.007
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author SUNWenbing(孙文兵)
author_facet SUNWenbing(孙文兵)
author_sort SUNWenbing(孙文兵)
collection DOAJ
description 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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spelling doaj.art-a0288ab7ec9640d59636b27077e4be832024-03-29T01:58:38ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972018-09-0145555556110.3785/j.issn.1008-9497.2018.05.007局部分数阶积分下关于广义调和s-凸函数的Ostrowski型不等式(Ostrowski type inequalities for generalized harmonically s-convex functions via local fractional integrals)SUNWenbing(孙文兵)0https://orcid.org/0000-0002-5673-4519(School of Science, Shaoyang University, Shaoyang 422000, Hunan Province, China)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.https://doi.org/10.3785/j.issn.1008-9497.2018.05.007ostrowski type inequalitygeneralized harmonically s-convex functionfractal setlocal fractional integral
spellingShingle SUNWenbing(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(Ostrowski type inequalities for generalized harmonically s-convex functions via local fractional integrals)
Zhejiang Daxue xuebao. Lixue ban
ostrowski type inequality
generalized harmonically s-convex function
fractal set
local fractional integral
title 局部分数阶积分下关于广义调和s-凸函数的Ostrowski型不等式(Ostrowski type inequalities for generalized harmonically s-convex functions via local fractional integrals)
title_full 局部分数阶积分下关于广义调和s-凸函数的Ostrowski型不等式(Ostrowski type inequalities for generalized harmonically s-convex functions via local fractional integrals)
title_fullStr 局部分数阶积分下关于广义调和s-凸函数的Ostrowski型不等式(Ostrowski type inequalities for generalized harmonically s-convex functions via local fractional integrals)
title_full_unstemmed 局部分数阶积分下关于广义调和s-凸函数的Ostrowski型不等式(Ostrowski type inequalities for generalized harmonically s-convex functions via local fractional integrals)
title_short 局部分数阶积分下关于广义调和s-凸函数的Ostrowski型不等式(Ostrowski type inequalities for generalized harmonically s-convex functions via local fractional integrals)
title_sort 局部分数阶积分下关于广义调和s 凸函数的ostrowski型不等式 ostrowski type inequalities for generalized harmonically s convex functions via local fractional integrals
topic ostrowski type inequality
generalized harmonically s-convex function
fractal set
local fractional integral
url https://doi.org/10.3785/j.issn.1008-9497.2018.05.007
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