@Article{JNMA-7-1727,
author = {Haider , WaliBudak , HüseyinShehzadi , AsiaHezenci , Fatih and Chen , Haibo},
title = {A Novel Variant of Milne’s Rule Inequalities on Quantum Calculus for Convex Functions with Their Computational Analysis},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2025},
volume = {7},
number = {5},
pages = {1727--1745},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2025.1727},
url = {http://global-sci.org/intro/article_detail/jnma/24386.html}
}