Inequalities for the Polar Derivative of a Polynomial
<p/> <p>Let <inline-formula> <graphic file="1029-242X-2009-515709-i1.gif"/></inline-formula> be a polynomial of degree <inline-formula> <graphic file="1029-242X-2009-515709-i2.gif"/></inline-formula> and for any real or complex numb...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2009/515709 |
| _version_ | 1818759782377455616 |
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| author | Bidkham M Shakeri M Eshaghi Gordji M |
| author_facet | Bidkham M Shakeri M Eshaghi Gordji M |
| author_sort | Bidkham M |
| collection | DOAJ |
| description | <p/> <p>Let <inline-formula> <graphic file="1029-242X-2009-515709-i1.gif"/></inline-formula> be a polynomial of degree <inline-formula> <graphic file="1029-242X-2009-515709-i2.gif"/></inline-formula> and for any real or complex number <inline-formula> <graphic file="1029-242X-2009-515709-i3.gif"/></inline-formula>, and let <inline-formula> <graphic file="1029-242X-2009-515709-i4.gif"/></inline-formula> denote the polar derivative of the polynomial <inline-formula> <graphic file="1029-242X-2009-515709-i5.gif"/></inline-formula> with respect to <inline-formula> <graphic file="1029-242X-2009-515709-i6.gif"/></inline-formula>. In this paper, we obtain new results concerning the maximum modulus of a polar derivative of a polynomial with restricted zeros. Our results generalize as well as improve upon some well-known polynomial inequalities.</p> |
| first_indexed | 2024-12-18T06:48:12Z |
| format | Article |
| id | doaj.art-42cdc88ae1184029b093581328a30360 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-18T06:48:12Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-42cdc88ae1184029b093581328a303602022-12-21T21:17:25ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091515709Inequalities for the Polar Derivative of a PolynomialBidkham MShakeri MEshaghi Gordji M<p/> <p>Let <inline-formula> <graphic file="1029-242X-2009-515709-i1.gif"/></inline-formula> be a polynomial of degree <inline-formula> <graphic file="1029-242X-2009-515709-i2.gif"/></inline-formula> and for any real or complex number <inline-formula> <graphic file="1029-242X-2009-515709-i3.gif"/></inline-formula>, and let <inline-formula> <graphic file="1029-242X-2009-515709-i4.gif"/></inline-formula> denote the polar derivative of the polynomial <inline-formula> <graphic file="1029-242X-2009-515709-i5.gif"/></inline-formula> with respect to <inline-formula> <graphic file="1029-242X-2009-515709-i6.gif"/></inline-formula>. In this paper, we obtain new results concerning the maximum modulus of a polar derivative of a polynomial with restricted zeros. Our results generalize as well as improve upon some well-known polynomial inequalities.</p>http://www.journalofinequalitiesandapplications.com/content/2009/515709 |
| spellingShingle | Bidkham M Shakeri M Eshaghi Gordji M Inequalities for the Polar Derivative of a Polynomial Journal of Inequalities and Applications |
| title | Inequalities for the Polar Derivative of a Polynomial |
| title_full | Inequalities for the Polar Derivative of a Polynomial |
| title_fullStr | Inequalities for the Polar Derivative of a Polynomial |
| title_full_unstemmed | Inequalities for the Polar Derivative of a Polynomial |
| title_short | Inequalities for the Polar Derivative of a Polynomial |
| title_sort | inequalities for the polar derivative of a polynomial |
| url | http://www.journalofinequalitiesandapplications.com/content/2009/515709 |
| work_keys_str_mv | AT bidkhamm inequalitiesforthepolarderivativeofapolynomial AT shakerim inequalitiesforthepolarderivativeofapolynomial AT eshaghigordjim inequalitiesforthepolarderivativeofapolynomial |