Generalized k-fractional integral inequalities associated with (α,m)-convex functions

This research investigates bounds of the sum of left-sided and right-sided fractional integrals in a compact form. These bounds are established by using ( α , m ) -convex functions. The results of this paper also have connection with some known and already published results (Dragomir and Agarwal in...

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Bibliographic Details
Published in:Journal of inequalities and applications 2019-09, Vol.2019 (1), p.1-14, Article 255
Main Authors: Kang, S. M., Farid, G., Waseem, M., Ullah, S., Nazeer, W., Mehmood, S.
Format: Article
Language:English
Subjects:
( α , m ) $(\alpha, m)$ -convex function
Analysis
Applications of Mathematics
Bounds
Convex analysis
Convex function
Fractional integrals
Integrals
Mathematics
Mathematics and Statistics
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Summary:This research investigates bounds of the sum of left-sided and right-sided fractional integrals in a compact form. These bounds are established by using ( α , m ) -convex functions. The results of this paper also have connection with some known and already published results (Dragomir and Agarwal in Appl. Math. Lett. 11(5):91–95, 1998 ; Farid in J. Anal. 2018 , https://doi.org/10.1007/s41478-0079-4 ; Farid et al. in Mathematics 2018(6):248, 2018 ). Moreover, the investigated results are applied to the end points as well as the mid point of the domain and some interesting consequences have been obtained.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-019-2206-4