Generalized fractional integral inequalities for exponentially (s, m) -convex functions

In this paper we have derived the fractional integral inequalities by defining exponentially (s, m) -convex functions. These inequalities provide upper bounds, boundedness, continuity, and Hadamard type inequality for fractional integrals containing an extended Mittag-Leffler function. The results about fractional integral operators for s-convex, m-convex, (s, m) -convex, exponentially convex, exponentially s-convex, and convex functions are direct consequences of presented results. © 2020, The Author(s).

Authors
Qiang X.1 , Farid G.2 , Pečarić J. 3 , Akbar S.B.2
Publisher
Springer International Publishing
Number of issue
1
Language
English
Status
Published
Number
70
Volume
2020
Year
2020
Organizations
  • 1 Institute of Computing Science and Technology, Guangzhou University, Guangzhou, China
  • 2 Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, Pakistan
  • 3 Rudn University, Moscow, Russian Federation
Keywords
(s, m) -convex function; Boundedness; Convex function; Fractional integral operators; Mittag-Leffler function
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