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On Geometrical Characteristics and Inequalities of New Bicomplex Lebesgue Spaces With Hyperbolic-Valued Norm

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dc.authorscopusid56543502200
dc.authorscopusid8866066700
dc.authorwosidToksoy, Erdem/Ahe-2884-2022
dc.contributor.authorToksoy, Erdem
dc.contributor.authorSagir, Birsen
dc.contributor.authorIDToksoy, Erdem/0000-0003-3597-6161
dc.date.accessioned2025-12-11T01:10:09Z
dc.date.issued2024
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Toksoy, Erdem; Sagir, Birsen] Ondokuz Mayis Univ, Fac Sci, Dept Math, Samsun, Turkiyeen_US
dc.descriptionToksoy, Erdem/0000-0003-3597-6161en_US
dc.description.abstractIn this work, it is assumed that the norm over bicomplex numbers is the hyperbolic ( D -valued) norm. In this paper, we provide an overview of bicomplex Lebesgue spaces and investigate some of their geometric properties, including BC-convexity, BC -strict convexity, and BC -uniform convexity. Moreover, the basic inequalities such as D-Holder's inequality and D -Minkowski inequality for bicomplex Lebesgue spaces are presented, used to show geometric properties.en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.doi10.1515/gmj-2023-2093
dc.identifier.endpage495en_US
dc.identifier.issn1072-947X
dc.identifier.issn1572-9176
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85178008734
dc.identifier.scopusqualityQ2
dc.identifier.startpage483en_US
dc.identifier.urihttps://doi.org/10.1515/gmj-2023-2093
dc.identifier.urihttps://hdl.handle.net/20.500.12712/41802
dc.identifier.volume31en_US
dc.identifier.wosWOS:001106856400001
dc.identifier.wosqualityQ2
dc.language.isoenen_US
dc.publisherWalter de Gruyter GmbHen_US
dc.relation.ispartofGeorgian Mathematical Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBicomplex Lebesgue Spaceen_US
dc.subjectD-Valued Normen_US
dc.subjectBC-Convexityen_US
dc.titleOn Geometrical Characteristics and Inequalities of New Bicomplex Lebesgue Spaces With Hyperbolic-Valued Normen_US
dc.typeArticleen_US
dspace.entity.typePublication

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