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

作者：Peng, Yu; Fu, Hao; Du, Tingsong^*

来源：Communications in Mathematics and Statistics, 2022.

DOI：10.1007/s40304-022-00285-8

• Hermite-Hadamard-type inequalities
• Multiplicative fractional integrals
• Multiplicatively convex functions
• *Differentiable functions

To investigate the fractional Hermite-Hadamard-type inequalities, a class of themultiplicative fractional integrals having exponential kernels is introduced. Someestimations of upper bounds for the newly introduced class of integral operators areobtained in terms of the established*differentiable identity. And our results presentedin this study are substantial generalizations of previous findings given by Ali et al.(Asian Res J Math 12:1-11, 2019). Three examples are also provided to identify thecorrectness of the results that occur with the change of the parameter alpha