A Novel Variant of Milne’s Rule Inequalities on Quantum Calculus for Convex Functions with Their Computational Analysis

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dc.contributor.authorHaider, Wali
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorShehzadi, Asia
dc.contributor.authorHezenci, Fatih
dc.contributor.authorChen, Haibo
dc.date.accessioned2026-07-01T11:36:28Z
dc.date.available2026-07-01T11:36:28Z
dc.date.issued2025
dc.departmentDüzce Üniversitesi
dc.description.abstractIn 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.
dc.identifier.doi10.12150/jnma.2025.1727
dc.identifier.endpage1745
dc.identifier.issn2562-2862
dc.identifier.issue5
dc.identifier.scopus2-s2.0-105022108434
dc.identifier.scopusqualityQ2
dc.identifier.startpage1727
dc.identifier.urihttps://doi.org/10.12150/jnma.2025.1727
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23054
dc.identifier.volume7
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherGlobal Science Press
dc.relation.ispartofJournal of Nonlinear Modeling and Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20260623
dc.subjectconvex functions
dc.subjectMilne’s inequality
dc.subjectq-calculus
dc.titleA Novel Variant of Milne’s Rule Inequalities on Quantum Calculus for Convex Functions with Their Computational Analysis
dc.typeArticle

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