Estimates for the polar derivative of a constrained polynomial on a disk

This work is a part of a recent wave of studies on inequalities which relate the uniform-norm of a univariate complex coefficient polynomial to its derivative on the unit disk in the plane. When there is a limit on the zeros of a polynomial, we develop some additional inequalities that relate the un...
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Autor*in:	Gradimir V. Milovanović [verfasserIn] Abdullah Mir [verfasserIn] Adil Hussain [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	complex domain constrained polynomial rouché‘s theorem zeros

Übergeordnetes Werk:	In: Cubo - Universidad de La Frontera, 2020, 24(2022), 3, Seite 541-554
Übergeordnetes Werk:	volume:24 ; year:2022 ; number:3 ; pages:541-554

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc Journal toc

DOI / URN:	10.56754/0719-0646.2403.0541

Katalog-ID:	DOAJ09817858X

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allfieldsSound	10.56754/0719-0646.2403.0541 doi (DE-627)DOAJ09817858X (DE-599)DOAJd87ebcde33a24cbcb9a48bb580d2fce7 DE-627 ger DE-627 rakwb eng QA1-939 Gradimir V. Milovanović verfasserin aut Estimates for the polar derivative of a constrained polynomial on a disk 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This work is a part of a recent wave of studies on inequalities which relate the uniform-norm of a univariate complex coefficient polynomial to its derivative on the unit disk in the plane. When there is a limit on the zeros of a polynomial, we develop some additional inequalities that relate the uniform-norm of the polynomial to its polar derivative. The obtained results support some recently established Erdὄs-Lax and Turán-type inequalities for constrained polynomials, as well as produce a number of inequalities that are sharper than those previously known in a very large literature on this subject. complex domain constrained polynomial rouché‘s theorem zeros Mathematics Abdullah Mir verfasserin aut Adil Hussain verfasserin aut In Cubo Universidad de La Frontera, 2020 24(2022), 3, Seite 541-554 (DE-627)635585057 (DE-600)2574640-6 07190646 nnns volume:24 year:2022 number:3 pages:541-554 https://doi.org/10.56754/0719-0646.2403.0541 kostenfrei https://doaj.org/article/d87ebcde33a24cbcb9a48bb580d2fce7 kostenfrei https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3214/2265 kostenfrei https://doaj.org/toc/0716-7776 Journal toc kostenfrei https://doaj.org/toc/0719-0646 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 24 2022 3 541-554
language	English
source	In Cubo 24(2022), 3, Seite 541-554 volume:24 year:2022 number:3 pages:541-554
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topic_facet	complex domain constrained polynomial rouché‘s theorem zeros Mathematics
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authorswithroles_txt_mv	Gradimir V. Milovanović @@aut@@ Abdullah Mir @@aut@@ Adil Hussain @@aut@@
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callnumber-first	Q - Science
author	Gradimir V. Milovanović
spellingShingle	Gradimir V. Milovanović misc QA1-939 misc complex domain misc constrained polynomial misc rouché‘s theorem misc zeros misc Mathematics Estimates for the polar derivative of a constrained polynomial on a disk
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topic_title	QA1-939 Estimates for the polar derivative of a constrained polynomial on a disk complex domain constrained polynomial rouché‘s theorem zeros
topic	misc QA1-939 misc complex domain misc constrained polynomial misc rouché‘s theorem misc zeros misc Mathematics
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title	Estimates for the polar derivative of a constrained polynomial on a disk
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title_full	Estimates for the polar derivative of a constrained polynomial on a disk
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title_sort	estimates for the polar derivative of a constrained polynomial on a disk
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title_auth	Estimates for the polar derivative of a constrained polynomial on a disk
abstract	This work is a part of a recent wave of studies on inequalities which relate the uniform-norm of a univariate complex coefficient polynomial to its derivative on the unit disk in the plane. When there is a limit on the zeros of a polynomial, we develop some additional inequalities that relate the uniform-norm of the polynomial to its polar derivative. The obtained results support some recently established Erdὄs-Lax and Turán-type inequalities for constrained polynomials, as well as produce a number of inequalities that are sharper than those previously known in a very large literature on this subject.
abstractGer	This work is a part of a recent wave of studies on inequalities which relate the uniform-norm of a univariate complex coefficient polynomial to its derivative on the unit disk in the plane. When there is a limit on the zeros of a polynomial, we develop some additional inequalities that relate the uniform-norm of the polynomial to its polar derivative. The obtained results support some recently established Erdὄs-Lax and Turán-type inequalities for constrained polynomials, as well as produce a number of inequalities that are sharper than those previously known in a very large literature on this subject.
abstract_unstemmed	This work is a part of a recent wave of studies on inequalities which relate the uniform-norm of a univariate complex coefficient polynomial to its derivative on the unit disk in the plane. When there is a limit on the zeros of a polynomial, we develop some additional inequalities that relate the uniform-norm of the polynomial to its polar derivative. The obtained results support some recently established Erdὄs-Lax and Turán-type inequalities for constrained polynomials, as well as produce a number of inequalities that are sharper than those previously known in a very large literature on this subject.
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title_short	Estimates for the polar derivative of a constrained polynomial on a disk
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