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

Authors :
Kang, S. M.
Farid, G.
Waseem, M.
Ullah, S.
Nazeer, W.
Mehmood, S.
Source :
Journal of Inequalities & Applications; 9/27/2019, Vol. 2019 Issue 1, pN.PAG-N.PAG, 1p
Publication Year :
2019

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10255834
Volume :
2019
Issue :
1
Database :
Complementary Index
Journal :
Journal of Inequalities & Applications
Publication Type :
Academic Journal
Accession number :
138851186
Full Text :
https://doi.org/10.1186/s13660-019-2206-4