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dc.contributor.authorKhojastehnezhad, Elaheen_US
dc.contributor.authorBidkham, Mahmooden_US
dc.date.accessioned2020-10-27T11:40:54Z
dc.date.available2020-10-27T11:40:54Z
dc.date.issued2019
dc.identifier.citationKhojastehnezhad, E. & Bidkham, M. (2019). Generalization of some inequalities for the polar derivative of polynomials with restricted zeros. TWMS Journal Of Applied And Engineering Mathematics, 9(3), 485-492.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2736
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/102-vol9no3/431
dc.description.abstractIf p(z) is a polynomial of degree n, then Govil [N.K. Govil, Some inequalities for derivative of polynomials, J. Approx. Theory, 66 (1991) 29-35.] proved that if p(z) has all its zeros in vertical bar z vertical bar <= k, (k >= 1), then max(vertical bar z vertical bar=1) vertical bar P'(z)vertical bar >= 1 n/1 + k(n) {max(vertical bar z vertical bar=1) vertical bar P(z)vertical bar + min(vertical bar z vertical bar=1) vertical bar P(z)vertical bar} In this article, we obtain a generalization of above inequality for the polar derivative of a polynomial. Also we extend some inequalities for a polynomial of the form p(z) = z(s) (a(0) + Sigma(n-s)(v=t) a(nu)z(nu)), t >= 1, 0 <= s <= n - 1, which having no zeros in vertical bar z vertical bar < k, k >= 1 except s-fold zeros at the origin.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectPolynomialen_US
dc.subjectInequalityen_US
dc.subjectMaximum modulusen_US
dc.subjectPolar derivativeen_US
dc.subjectRestricted zerosen_US
dc.titleGeneralization of some inequalities for the polar derivative of polynomials with restricted zerosen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume9
dc.identifier.issue3
dc.identifier.startpage485
dc.identifier.endpage492
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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