The inequalities on dual numbers and their topological structures

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dc.contributor.authorAktaş, Büşra
dc.contributor.authorDurmaz, Olgun
dc.contributor.authorGündoğan, Halit
dc.date.accessioned2025-01-21T16:33:42Z
dc.date.available2025-01-21T16:33:42Z
dc.date.issued2023
dc.departmentKırıkkale Üniversitesi
dc.description.abstractInequalities are frequently used in various fields of mathematics to prove theorems. The existence of inequalities contributes significantly to the foundations of such branches. In this paper, we study the properties of order relations in the system of dual numbers, which is inspired by order relations defined on real numbers. Besides, some special inequalities that are used in various fields of mathematics, such as Cauchy-Schwarz, Minkowski, and Chebyshev are studied in this framework. An example is also provided to validate our research findings.
dc.identifier.doi10.55730/1300-0098.3431
dc.identifier.endpage1334
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85167911474
dc.identifier.scopusqualityQ2
dc.identifier.startpage1318
dc.identifier.trdizinid1191280
dc.identifier.urihttps://doi.org/10.55730/1300-0098.3431
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay1191280
dc.identifier.urihttps://hdl.handle.net/20.500.12587/23839
dc.identifier.volume47
dc.identifier.wosWOS:001040064500001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherTubitak Scientific & Technological Research Council Turkey
dc.relation.ispartofTurkish Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectDual numbers; dual absolute value; dual inequalities; dual norm
dc.titleThe inequalities on dual numbers and their topological structures
dc.typeArticle

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