Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus

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Küçük Resim

Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

De Gruyter Poland Sp Z O O

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we first prove an identity for twice quantum differentiable functions. Then, by utilizing the convexity of vertical bar(b)D(q)(2)f vertical bar and vertical bar(a)D(q)(2)f vertical bar, we establish some quantum Ostrowski inequalities for twice quantum differentiable mappings involving q(a) and q(b)-quantum integrals. The results presented here are the generalization of already published ones.

Açıklama

Anahtar Kelimeler

Ostrowski inequality, q-integral, quantum calculus, convex function, Hermite-Hadamard Inequalities, Integral-Inequalities, Convex, Mappings

Kaynak

Open Mathematics

WoS Q Değeri

Q2

Scopus Q Değeri

Q3

Cilt

19

Sayı

Künye