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Certain exponential type m-convexity inequalities for fractional integrals with exponential kernels

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成果类型:
期刊论文
作者:
Wang, Hao*;Wu, Zhijuan;Zhang, Xiaohong;Chen, Shubo
通讯作者:
Wang, Hao
作者机构:
[Wu, Zhijuan; Chen, Shubo; Zhang, Xiaohong; Wang, Hao] Hunan City Univ, Coll Sci, Dept Math, Yiyang 413000, Peoples R China.
通讯机构:
[Wang, Hao] H
Hunan City Univ, Coll Sci, Dept Math, Yiyang 413000, Peoples R China.
语种:
英文
关键词:
Exponential type m-convex mappings;Fractional integrals;Hermite-Hadamard type inequality
期刊:
AIMS Mathematics
ISSN:
2473-6988
年:
2022
卷:
7
期:
4
页码:
6311-6330
基金类别:
The authors were supported in General Project of Education Department of Hunan Province (No. 19C0359, No. 19C0377, No. 20C0364).
机构署名:
本校为第一且通讯机构
院系归属:
理学院
摘要:
By applying exponential type m-convexity, the Hölder inequality and the power mean inequality, this paper is devoted to conclude explicit bounds for the fractional integrals with exponential kernels inequalities, such as right-side Hadamard type, midpoint type, trapezoid type and Dragomir-Agarwal type inequalities. The results of this study are obtained for mappings ω where ω and |ω′ | (or |ω′ |q with q ≥ 1) are exponential type m-convex. Also, the results presented in this article provide generalizations of those given in e...

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