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Hermite‐Hadamard type inequalities for generalized Riemann‐Liouville fractional integrals of h ‐convex functions
Author(s) -
Dragomir Silvestru Sever
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5893
Subject(s) - mathematics , hadamard transform , hermite polynomials , convex function , type (biology) , fractional calculus , pure mathematics , mathematical analysis , regular polygon , ecology , geometry , biology
In this paper, we establish some Hermite‐Hadamard type inequalities for the Generalized Riemann‐Liouville fractional integralsI a + , g α f andI b − , g α f , where g is a strictly increasing function on a , b , having a continuous derivative ona , band under the assumption that the composite function f ∘ g −1 is h ‐convex ong a , g b. Some applications for Hadamard fractional integrals and s ‐Godunova‐Levin type convex functions are also provided.