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Fractional integral versions of hermite-hadamard type inequality for generalized exponentially convexity

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成果类型:
期刊论文
作者:
Qi, Hengxiao;Yussouf, Muhammad;Mehmood, Sajid;Chu, Yu-Ming*;Farid, Ghulam*
通讯作者:
Chu, Yu-Ming;Farid, Ghulam
作者机构:
[Qi, Hengxiao] Shandong Adm Coll, Party Sch Shandong Prov Comm Communist Party Chin, Jinan 250014, Peoples R China.
[Yussouf, Muhammad] Univ Sargodha, Dept Math, Sargodha, Pakistan.
[Mehmood, Sajid] Govt Boys Primary Sch Sherani, Hazro, Attock, Pakistan.
[Chu, Yu-Ming] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.
[Chu, Yu-Ming] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.
通讯机构:
[Chu, Yu-Ming] H
[Chu, Yu-Ming; Farid, Ghulam] C
Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.
Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.
COMSATS Univ Islamabad, Dept Math, Attock Campus, Attock, Pakistan.
语种:
英文
关键词:
Convex function;Generalized fractional integral operators;Hermite-Hadamard inequality;Mittag-Leffler function
期刊:
AIMS Mathematics
ISSN:
2473-6988
年:
2020
卷:
5
期:
6
页码:
6030-6042
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11971142, 11871202, 61673169, 11701176, 11626101, 11601485]
机构署名:
本校为通讯机构
摘要:
In this paper, we establish generalized fractional versions of Hermite-Hadamard inequalities for exponentially (α, h − m)-convex functions, exponentially (h − m)-convex functions and exponentially (α, m)-convex functions. These inequalities arise when using the generalized fractional integral operators containing Mittag-Leffler function via a monotonically increasing function. The presented results hold at the same time for various kinds of convexities and well-known fractional integral operators. Moreover, the established inequalities repr...

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