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