New perspectives on Milne's rule inequalities with their computational analysis via quantum calculus
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Zhejiang Univ Press
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, we propose a novel method for establishing Milne's rule-type inequalities within the context of quantum calculus applied to differentiable convex functions. Initially, we obtain a quantum integral identity, which serves as the foundation for deriving several new Milne's rule inequalities tailored for quantum differentiable convex functions. These inequalities are particularly relevant in Open-Newton's Cotes formulas, facilitating the determination of bounds for Milne's rule in both classical and q-calculus domains. Additionally, we conduct computational analysis on these inequalities for convex functions and present mathematical examples and graphical representation to demonstrate the validity of our newly established results within the realm of q-calculus.
Açıklama
Anahtar Kelimeler
Milne'S Inequality, Q-Calculus, Convex Functions
Kaynak
Applied Mathematics-A Journal of Chinese Universities Series B
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
40
Sayı
3
