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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Vydáno v:	Mathematical methods in the applied sciences Ročník 44; číslo 3; s. 2364 - 2380
Hlavní autor:	Dragomir, Silvestru Sever
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Freiburg Wiley Subscription Services, Inc 01.02.2021
Témata:	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
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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.
Bibliografie:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	0170-4214 1099-1476
DOI:	10.1002/mma.5893