Author:
Yue Ye, ,Farid Ghulam,Demirel Ayșe Kübra,Nazeer Waqas,Zhao Yinghui, , ,
Abstract
<abstract><p>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 $.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
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