Hermite-Hadamard-type inequalities for the interval-valued approximatelyh-convex functions via generalized fractional integrals

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Tarih

2020

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Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we present a new definition of interval-valued convex functions depending on the given function which is called interval-valued approximatelyh-convex functions. We establish some inequalities of Hermite-Hadamard type for a newly defined class of functions by using generalized fractional integrals. Our new inequalities are the extensions of previously obtained results like (D.F. Zhao et al. in J. Inequal. Appl. 2018(1):302,2018and H. Budak et al. in Proc. Am. Math. Soc.,2019). We also discussed some special cases from our main results.

Açıklama

Anahtar Kelimeler

Hermite-Hadamard-type inequalities, Interval-valued functions, Fractional integrals, Calculus

Kaynak

Journal Of Inequalities And Applications

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

2020

Sayı

1

Künye