Open AccessHermite-Hadamard type inequalities for F-convex function involving fractional integrals
Author(s) -
Hüseyın Budak,
Mehmet Zeki Sarıkaya,
Mustafa Yıldız
Publication year - 2018
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1816509b
Subject(s) - mathematics , hadamard transform , hermite polynomials , convex function , type (biology) , pure mathematics , regular polygon , function (biology) , jensen's inequality , mathematical analysis , convex analysis , convex optimization , geometry , ecology , evolutionary biology , biology
In this study, we firstly give some properties the family F and F-convex function which are defined by B. Samet. Then, we establish Hermite-Hadamard type inequalities involving fractional integrals via F-convex function. Some previous results are also recaptured as special cases.