Estimations of Bounds on the Multiplicative Fractional Integral Inequalities Having Exponential Kernels  

作　　者：Yu Peng Hao Fu Tingsong Du 

机构地区：[1]Department of Mathematics,College of Science,China Three Gorges University,Yichang 443002,People’s Republic of China [2]Three Gorges Mathematical Research Center,China Three Gorges University,Yichang 443002,People’s Republic of China

出　　处：《Communications in Mathematics and Statistics》2024年第2期187-211,共25页数学与统计通讯（英文）

摘　　要：To investigate the fractional Hermite–Hadamard-type inequalities,a class of the multiplicative fractional integrals having exponential kernels is introduced.Some estimations of upper bounds for the newly introduced class of integral operators are obtained in terms of the established∗differentiable identity.And our results presented in this study are substantial generalizations of previousfindings given by Ali et al.(Asian Res J Math 12:1–11,2019).Three examples are also provided to identify the correctness of the results that occur with the change of the parameter α.

关 键 词：Hermite–Hadamard-type inequalities Multiplicative fractional integrals Multiplicatively convex functions Differentiable functions 

分 类 号：O17[理学—数学]