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New hermite-hadamard type inequalities for exponentially convex functions and applications

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成果类型:
期刊论文
作者:
Zhou, Shuang-Shuang;Rashid, Saima;Noor, Muhammad Aslam;Noor, Khalida Inayat;Safdar, Farhat;...
通讯作者:
Chu, Yu-Ming
作者机构:
[Zhou, Shuang-Shuang] Hunan City Univ, Sch Sci, Yiyang 413000, Peoples R China.
[Rashid, Saima] Govt Coll Univ Faisalabad, Dept Math, Faisalabad, Pakistan.
[Noor, Muhammad Aslam; Noor, Khalida Inayat] COMSATS Univ, Dept Math, Islamabad, Pakistan.
[Safdar, Farhat] SBK Women Univ, Dept Math, Quetta, Pakistan.
[Chu, Yu-Ming] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.
通讯机构:
[Chu, Yu-Ming] H
[Chu, Yu-Ming] C
Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.
Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engineeri, Changsha 410114, Peoples R China.
语种:
英文
关键词:
Convex function;Exponentially convex functions;Hermite-Hadamard inequality;K-conformable fractional integral;Weighted inequality
期刊:
AIMS Mathematics
ISSN:
2473-6988
年:
2020
卷:
5
期:
6
页码:
6874-6901
基金类别:
The authors would like to thank the anonymous referees for their valuable comments and suggestions, which led to considerable improvement of the article. This work was supported by the National Natural Science Foundation of China (Grant Nos. 11971142, 61673169, 11701176, 11871202) and the Natural Science Foundation of Zhejiang Province (Grant No. LY19A010012).
机构署名:
本校为通讯机构
摘要:
The investigation of the proposed techniques is effective and convenient for solving the integrodifferential and difference equations. The present investigation depends on two highlights; the novel Hermite-Hadamard type inequalities for K-conformable fractional integral operator in terms of a new parameter K > 0 and weighted version of Hermite-Hadamard type inequalities for exponentially convex functions in the classical sense. By using an integral identity together with the Hölder-İşcan and improved power-mean inequality we establish severa...

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