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Quantum Hermite–Hadamard inequality by means of a Green function

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成果类型:
期刊论文
作者:
Khan, Muhammad;Mohammad, Noor;Nwaeze, Eze R.;Chu, Yu-Ming*
通讯作者:
Chu, Yu-Ming
作者机构:
[Mohammad, Noor; Khan, Muhammad] Univ Peshawar, Dept Math, Peshawar, Pakistan.
[Nwaeze, Eze R.] Alabama State Univ, Dept Math & Comp Sci, Montgomery, AL 36101 USA.
[Chu, Yu-Ming] Huzhou Univ, Dept Math, Huzhou, Peoples R China.
[Chu, Yu-Ming] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha, Peoples R China.
通讯机构:
[Chu, Yu-Ming] H
[Chu, Yu-Ming] C
Huzhou Univ, Dept Math, Huzhou, Peoples R China.
Changsha Univ Sci & Technol, Sch Math & Stat, Changsha, Peoples R China.
语种:
英文
关键词:
Convex and concave functions;Green function;Hermite–Hadamard inequality;Quantum integration
期刊:
Advances in Difference Equations
ISSN:
1687-1847
年:
2020
卷:
2020
期:
1
页码:
1-20
基金类别:
The work was supported by the Natural Science Foundation of China (Grant Nos. 61673169, 11301127, 11701176, 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 purpose of this work is to present the quantum Hermite–Hadamard inequality through the Green function approach. While doing this, we deduce some novel quantum identities. Using these identities, we establish some new inequalities in this direction. We contemplate the possibility of expanding the method, outlined herein, to recast the proofs of some known inequa...

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