@article{Yue2022, 
author = {Ye Yue and Ghulam Farid and Ayșe Kübra Demirel and Waqas Nazeer and Yinghui Zhao},
title = {Hadamard and Fejér-Hadamard inequalities for generalized    k-fractional integrals involving further extension of Mittag-Leffler function},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {1},
pages = {681-703},
keywords = {Hadamard inequality, Fejér-Hadamard inequality, convex function, p-convex function, k-fractional integrals, Mittag-Leffler function},
url = {https://www.sciopen.com/article/10.3934/math.2022043},
doi = {10.3934/math.2022043},
abstract = {In this paper,    k-fractional integral operators containing further extension of Mittag-Leffler function are defined firstly. Then, the first and second version of Hadamard and Fejér-Hadamard inequalities for generalized    k-fractional integrals are obtained. Finally, by using these generalized    k-fractional integrals containing Mittag-Leffler functions, results for    p-convex functions are obtained. The results for convex functions can be deduced by taking    p  =  1.}
}