Quantum Hermite-Hadamard-type inequalities for functions with convex absolute values of second <mml:msup>qb</mml:msup>-derivatives

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Küçük Resim

Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we obtain Hermite-Hadamard-type inequalities of convex functions by applying the notion of qb-integral. We prove some new inequalities related with right-hand sides of qb-Hermite-Hadamard inequalities for differentiable functions with convex absolute values of second derivatives. The results presented in this paper are a unification and generalization of the comparable results in the literature on Hermite-Hadamard inequalities.

Açıklama

Anahtar Kelimeler

Hermite-Hadamard inequality, q-integral, Quantum calculus, Convex function

Kaynak

Advances In Difference Equations

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

2021

Sayı

1

Künye