Hermite-Hadamard type inequalities for F-convex function involving fractional integrals

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Tarih

2018

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Yayıncı

Springeropen

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this study, the family F and F-convex function are given with its properties. In view of this, we establish some new inequalities of Hermite-Hadamard type for differentiable function. Moreover, we establish some trapezoid type inequalities for functions whose second derivatives in absolute values are F-convex. We also show that through the notion of F-convex we can find some new Hermite-Hadamard type and trapezoid type inequalities for the Riemann-Liouville fractional integrals and classical integrals.

Açıklama

Mohammed, Pshtiwan/0000-0001-6837-8075
WOS: 000454541600002
PubMed: 30839932

Anahtar Kelimeler

F-convex, lambda(phi)-preinvex, Integral inequalities

Kaynak

Journal Of Inequalities And Applications

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Q1

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