关于 - 凸函数或 - 凹函数的分数阶Hermite - Hadamard不等式。
Fractional Hermite-Hadamard inequalities for -convex or -concave functions.
作者信息
Lian Tieyan, Tang Wei, Zhou Rui
机构信息
1College of Light Industry Science and Engineering, Shaanxi University of Science and Technology, Xi'an, China.
3College of Arts and Sciences, Shaanxi University of Science and Technology, Xi'an, China.
出版信息
J Inequal Appl. 2018;2018(1):240. doi: 10.1186/s13660-018-1829-1. Epub 2018 Sep 12.
Abstract
In this article, fractional integral is considered. Some new upper bounds of the distance between the middle and left of Hermite-Hadamard type inequalities for fractional integrals are established for -convex or -concave functions.
摘要
本文考虑分数阶积分。针对(\varphi -)凸函数或(\varphi -)凹函数，建立了分数阶积分的Hermite - Hadamard型不等式中间部分与左边部分之间距离的一些新的上界。
相似文献
1
Fractional Hermite-Hadamard inequalities for -convex or -concave functions.
J Inequal Appl. 2018;2018(1):240. doi: 10.1186/s13660-018-1829-1. Epub 2018 Sep 12.
2
Integral inequalities for some convex functions via generalized fractional integrals.
J Inequal Appl. 2018;2018(1):208. doi: 10.1186/s13660-018-1807-7. Epub 2018 Aug 14.
3
On new inequalities of Hermite-Hadamard-Fejer type for harmonically convex functions via fractional integrals.
Springerplus. 2016 May 17;5:635. doi: 10.1186/s40064-016-2215-4. eCollection 2016.
4
Hermite-Hadamard type inequalities for fractional integrals via Green's function.
J Inequal Appl. 2018;2018(1):161. doi: 10.1186/s13660-018-1751-6. Epub 2018 Jul 4.
5
Weighted Hermite-Hadamard integral inequalities for general convex functions.
Math Biosci Eng. 2023 Nov 2;20(11):19929-19940. doi: 10.3934/mbe.2023882.
6
Certain Hermite-Hadamard type inequalities via generalized -fractional integrals.
J Inequal Appl. 2017;2017(1):55. doi: 10.1186/s13660-017-1318-y. Epub 2017 Mar 4.
7
Hermite-Hadamard type inequalities for -convex function involving fractional integrals.
J Inequal Appl. 2018;2018(1):359. doi: 10.1186/s13660-018-1950-1. Epub 2018 Dec 29.
8
Generalized Hermite-Hadamard type inequalities involving fractional integral operators.
J Inequal Appl. 2017;2017(1):169. doi: 10.1186/s13660-017-1444-6. Epub 2017 Jul 19.
9
Hermite-Hadamard type inequalities for the generalized k-fractional integral operators.
J Inequal Appl. 2017;2017(1):206. doi: 10.1186/s13660-017-1476-y. Epub 2017 Sep 4.
10
On Riemann-Liouville integrals and Caputo Fractional derivatives via strongly modified (p, h)-convex functions.
PLoS One. 2024 Oct 15;19(10):e0311386. doi: 10.1371/journal.pone.0311386. eCollection 2024.
Zotero 插件