Sharpened forms of the generalized Schwarz inequality on the boundary

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dc.contributor.authorAkyel, Tugba
dc.contributor.authorOrnek, Bulent Nafi
dc.date.accessioned2025-10-29T11:30:54Z
dc.date.issued2016
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper, a boundary version of the Schwarz inequality is investigated. We obtain more general results at the boundary. If we know the second coefficient in the expansion of the function f (z) = 1 + c(p)z(P) + c(p+1)z(P+1) ... , then we obtain new inequalities of the Schwarz inequality at boundary by taking into account c(p+1) and zeros of the function f (z) - 1. The sharpness of these inequalities is also proved.
dc.identifier.doi10.1007/s12044-015-0255-2
dc.identifier.endpage78
dc.identifier.issn0253-4142
dc.identifier.issn0973-7685
dc.identifier.issue1
dc.identifier.scopus2-s2.0-84961641614
dc.identifier.scopusqualityQ4
dc.identifier.startpage69
dc.identifier.urihttps://doi.org/10.1007/s12044-015-0255-2
dc.identifier.urihttps://hdl.handle.net/20.500.14854/11784
dc.identifier.volume126
dc.identifier.wosWOS:000373243500008
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherIndian Acad Sciences
dc.relation.ispartofProceedings of the Indian Academy of Sciences-Mathematical Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20251020
dc.subjectSchwarz lemma on the boundary
dc.subjectholomorphic function
dc.subjectangular limit and derivative
dc.titleSharpened forms of the generalized Schwarz inequality on the boundary
dc.typeArticle

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