On Fejér-Hermite-Hadamard inequalities for functions involving fractional integrals

Miskolc Mathematical Notes

article

Sikander Mehmood¹  Fiza Zafar¹  Hasan Furkan²  Nusrat Yasmin¹  Ahmet Ocak Akdemir³ 

[1] Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University;Department of Mathematics, Kahramanmaras¸ Sutc¸u Imam University;Agrı Ibrahim C¸ ec¸en University, Faculty of Science and Arts, Department of Mathematics

关键词: Hermite-Hadamard-inequality;    Hermite-Hadamard-Fejer inequality;    ´ Riemann-Liouville fractional integral operators;    preinvex function;    ˇn-times differentiable functions;   

DOI  :  10.18514/MMN.2023.3730

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

In this paper, some new estimations of Hermite-Hadamard-Fej\'{e}r type inequalities for higher order differentiable preinvex functions are established via fractional integral operators. The main motivation point of the study is that our findings, which include generalized preinvex functions for Hermite-Hadamard-Fejer type inequalities by means of fractional integral operators, are the first results in the literature. The coincidence of the special cases of the main theorems with the results existing in the literature is also given as a verification of our results.

【 授权许可】

CC BY