Some Classical Inequalities Associated with Generic Identity and Applications

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dc.authoridJaved, Muhammad Zakria/0000-0001-5212-6252
dc.authoridAwan, Muhammad Uzair/0000-0002-1019-9485
dc.authoridBin-Mohsin or Almohsen, Bandar/0000-0002-2160-4159
dc.authoridDragomir, Silvestru Sever/0000-0003-2902-6805
dc.authoridBudak, Huseyin/0000-0001-8843-955X;
dc.contributor.authorJaved, Muhammad Zakria
dc.contributor.authorAwan, Muhammad Uzair
dc.contributor.authorBin-Mohsin, Bandar
dc.contributor.authorBudak, Huseyin
dc.contributor.authorDragomir, Silvestru Sever
dc.date.accessioned2025-10-11T20:47:49Z
dc.date.available2025-10-11T20:47:49Z
dc.date.issued2024
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, we derive a new generic equality for the first-order differentiable functions. Through the utilization of the general identity and convex functions, we produce a family of upper bounds for numerous integral inequalities like Ostrowski's inequality, trapezoidal inequality, midpoint inequality, Simpson's inequality, Newton-type inequalities, and several two-point open trapezoidal inequalities. Also, we provide the numerical and visual explanation of our principal findings. Later, we provide some novel applications to the theory of means, special functions, error bounds of composite quadrature schemes, and parametric iterative schemes to find the roots of linear functions. Also, we attain several already known and new bounds for different values of gamma and parameter xi.en_US
dc.description.sponsorshipKing Saud University, Riyadh, Saudi Arabiaen_US
dc.description.sponsorship[RSP2024R158]en_US
dc.description.sponsorshipThis paper is supported by Researchers Supporting Project number (RSP2024R158), King Saud University, Riyadh, Saudi Arabia.en_US
dc.identifier.doi10.3390/axioms13080533
dc.identifier.issn2075-1680
dc.identifier.issue8en_US
dc.identifier.urihttps://doi.org/10.3390/axioms13080533
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21587
dc.identifier.volume13en_US
dc.identifier.wosWOS:001305851200001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofAxiomsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectconvex functionen_US
dc.subjectinequalityen_US
dc.subjecttrapezoidalen_US
dc.subjectmidpointen_US
dc.subjectSimpsonen_US
dc.subjectNewtonen_US
dc.subjectquadrature schemesen_US
dc.titleSome Classical Inequalities Associated with Generic Identity and Applicationsen_US
dc.typeArticleen_US

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