Hermite‐Hadamard type inequalities for generalized Riemann‐Liouville fractional integrals of h‐convex functions

In this paper, we establish some Hermite‐Hadamard type inequalities for the Generalized Riemann‐Liouville fractional integrals Ia+,gαf and Ib−,gαf, where g is a strictly increasing function on a,b, having a continuous derivative on a,b and under the assumption that the composite function f∘g−1 is h...

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Veröffentlicht in:Mathematical methods in the applied sciences Jg. 44; H. 3; S. 2364 - 2380
1. Verfasser: Dragomir, Silvestru Sever
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Freiburg Wiley Subscription Services, Inc 01.02.2021
Schlagworte:
Composite functions
Convex analysis
convex functions
Hadamard fractional integral
Hermite‐Hadamard type inequalities
h‐convex functions
Inequalities
Integrals
Riemann‐Liouville fractional integrals
ISSN:0170-4214, 1099-1476
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Zusammenfassung:In this paper, we establish some Hermite‐Hadamard type inequalities for the Generalized Riemann‐Liouville fractional integrals Ia+,gαf and Ib−,gαf, where g is a strictly increasing function on a,b, having a continuous derivative on a,b and under the assumption that the composite function f∘g−1 is h ‐convex on ga,gb. Some applications for Hadamard fractional integrals and s‐Godunova‐Levin type convex functions are also provided.
Bibliographie:ObjectType-Article-1
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content type line 14
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5893