A new version of (p, q)-Hermite-Hadamard's midpoint and trapezoidal inequalities via special operators in (p, q)-calculus
Yükleniyor...
Dosyalar
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we conduct a research on a new version of the (p, q)-Hermite-Hadamard inequality for convex functions in the framework of postquantum calculus. Moreover, we derive several estimates for (p, q)-midpoint and (p, q)-trapezoidal inequalities for special (p, q)-differentiable functions by using the notions of left and right (p, q)-derivatives. Our newly obtained inequalities are extensions of some existing inequalities in other studies. Lastly, we consider some mathematical examples for some (p, q)-functions to confirm the correctness of newly established results.
Açıklama
Anahtar Kelimeler
Q-Calculus; (P,Q)-Hermite-Hadamard Inequality; (P,Q)-Calculus; Convex Functions, Differentiable Mappings; Integral-Inequalities; Real Numbers; Convex
Kaynak
Boundary Value Problems
WoS Q Değeri
Q1
Scopus Q Değeri
Q3
Cilt
2022
Sayı
1
