Post-quantum Hermite-Hadamard type inequalities for interval-valued convex functions
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Dosyalar
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this research, we introduce the notions of (p, q)-derivative and integral for interval-valued functions and discuss their fundamental properties. After that, we prove some new inequalities of Hermite-Hadamard type for interval-valued convex functions employing the newly defined integral and derivative. Moreover, we find the estimates for the newly proved inequalities of Hermite-Hadamard type. It is also shown that the results proved in this study are the generalization of some already proved research in the field of Hermite-Hadamard inequalities.
Açıklama
Anahtar Kelimeler
Hermite-Hadamard inequality, (p, q)-integral, Quantum calculus, Interval-valued calculus, Interval-valued convex functions, Integral-Inequalities, Calculus
Kaynak
Journal Of Inequalities And Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
2021
Sayı
1
