Exploring error estimates of Newton-Cotes quadrature rules across diverse function classes

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dc.contributor.authorLakhdari, Abdelghani
dc.contributor.authorAwan, Muhammad Uzair
dc.contributor.authorDragomir, Silvestru Sever
dc.contributor.authorBudak, Huseyin
dc.contributor.authorMeftah, Badreddine
dc.date.accessioned2025-10-11T20:48:03Z
dc.date.available2025-10-11T20:48:03Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis in-depth study looks at symmetric four-point Newton-Cotes-type inequalities with a focus on error estimates for numerical integration. The precision of these estimates is explored across various classes of functions, including those with bounded variation, bounded derivatives, Lipschitzian derivatives, convex derivatives, and others. The research synthesizes and extends existing knowledge, providing a nuanced understanding of how error bounds depend on the characteristics of integrated functions. Through a systematic review of seminal works, the study contributes to the practical application of numerical integration techniques, offering insight for researchers and practitioners to make informed choices based on the specific features of the functions involved.en_US
dc.identifier.doi10.1186/s13660-025-03251-4
dc.identifier.issn1029-242X
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85217549417en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1186/s13660-025-03251-4
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21734
dc.identifier.volume2025en_US
dc.identifier.wosWOS:001396207500001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofJournal of Inequalitiesand Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectNewton-Cotes inequalitiesen_US
dc.subjectFunctions of bounded variationen_US
dc.subjectLipschitzian functionsen_US
dc.subjectBounded functionsen_US
dc.subjectConvex functionsen_US
dc.titleExploring error estimates of Newton-Cotes quadrature rules across diverse function classesen_US
dc.typeArticleen_US

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