A Novel Variant of Milne’s Rule Inequalities on Quantum Calculus for Convex Functions with Their Computational Analysis
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Global Science Press
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this investigation, we introduce a novel approach for establishing Milne’s type inequalities in the context of quantum calculus for differentiable convex functions. First, we prove a quantum integral identity. We derive numerous new Milne’s rule inequalities for quantum differentiable convex functions. These inequalities are relevant in open Newton-Cotes formulas, as they facilitate the determination of bounds for Milne’s rule applicable to differentiable convex functions in both classical and q-calculus. In addition, we conduct a computational analysis of these inequalities for convex functions and provide mathematical examples to demonstrate the validity of the newly established results within the framework of q-calculus. © 2025, Global Science Press. All rights reserved.
Açıklama
Anahtar Kelimeler
convex functions, Milne’s inequality, q-calculus
Kaynak
Journal of Nonlinear Modeling and Analysis
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
7
Sayı
5
