Extension and Generalization of Polynomial Inequalities.
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| Title: | Extension and Generalization of Polynomial Inequalities. |
|---|---|
| Authors: | Singh, Mayanglambam Singhajit1 msinghasingho@gmail.com, Chanam, Barchand2 barchand_2004@yahoo.co.in |
| Source: | IAENG International Journal of Applied Mathematics. Apr2024, Vol. 54 Issue 4, p651-656. 6p. |
| Subjects: | Polynomials, Generalization |
| Abstract: | In this paper, we extend and generalize an improved bound on the unit circle jzj = 1 concerning polar derivative of a polynomial of degree n having no zero in jzj < k, 0 < k ≤ 1 to an inequality involving the maximum modulus of the polar derivative of the polynomial on circles of radii r;R with 1 ≤ r ≤ R < 1. As consequences of our result, we are able to extend and improve some known polynomial inequalities as well. [ABSTRACT FROM AUTHOR] |
| Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 176378471 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Extension and Generalization of Polynomial Inequalities. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Singh%2C+Mayanglambam+Singhajit%22">Singh, Mayanglambam Singhajit</searchLink><relatesTo>1</relatesTo><i> msinghasingho@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Chanam%2C+Barchand%22">Chanam, Barchand</searchLink><relatesTo>2</relatesTo><i> barchand_2004@yahoo.co.in</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Apr2024, Vol. 54 Issue 4, p651-656. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Polynomials%22">Polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Generalization%22">Generalization</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we extend and generalize an improved bound on the unit circle jzj = 1 concerning polar derivative of a polynomial of degree n having no zero in jzj < k, 0 < k ≤ 1 to an inequality involving the maximum modulus of the polar derivative of the polynomial on circles of radii r;R with 1 ≤ r ≤ R < 1. As consequences of our result, we are able to extend and improve some known polynomial inequalities as well. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 651 Subjects: – SubjectFull: Polynomials Type: general – SubjectFull: Generalization Type: general Titles: – TitleFull: Extension and Generalization of Polynomial Inequalities. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Singh, Mayanglambam Singhajit – PersonEntity: Name: NameFull: Chanam, Barchand IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: Apr2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 54 – Type: issue Value: 4 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
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