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Ostrowski type inequalities in the sense of generalized K-fractional integral operator for exponentially convex functions

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成果类型:
期刊论文
作者:
Rashid, Saima;Noor, Muhammad Aslam;Noor, Khalida Inayat;Chu, Yu-Ming*
通讯作者:
Chu, Yu-Ming
作者机构:
[Rashid, Saima] Govt Coll GC Univ, Dept Math, Faisalabad 38000, Pakistan.
[Noor, Muhammad Aslam; Noor, Khalida Inayat] COMSATS Univ Islamabad, Dept Math, Islamabad 45550, Pakistan.
[Chu, Yu-Ming] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.
[Chu, Yu-Ming] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 413000, 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, Sch Math & Stat, Changsha 413000, Peoples R China.
语种:
英文
关键词:
Exponentially convex functions;Generalized K-fractional integral operator;Hermite-Hadamard inequality;Integral inequality
期刊:
AIMS Mathematics
ISSN:
2473-6988
年:
2020
卷:
5
期:
3
页码:
2629-2645
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. The research is supported by the Natural Science Foundation of China (Grant Nos. Grant Nos. 11701176, 61673169, 11301127, 11626101, 11601485).
机构署名:
本校为通讯机构
院系归属:
数学与统计学院
摘要:
The investigation of the proposed methods is effective and convenient for solving the integrodifferential and difference equations. In this note, we introduce the generalized K-fractional integral in terms of a new parameter K > 0 for exponentially convex functions. This paper offers some novel inequalities of Ostrowski-type using the generalized K-fractional integral. In the application viewpoint, we proved several corollaries that investigate for proving Hermite-Hadamard inequalities for generalized K-fractional integral operator. Some numeri...

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