On Sharp Estimates of Coefficients for Polynomials in Norm-Attainable Classes

New sharp estimates for coefficients of pseudo-monoidal type polynomials are given for the class of norm-attainable operators. Moreover, we show the existence of an equivalence relation in the case of the class of norm-attainable operators with the Bergman determinant for the class of composition op...

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Bibliographic Details
Main Authors: Benard Okelo, Francis Odhiambo, Jeffar Oburu
Format: Article
Language:English
Published: Mathyze Publishers 2022-07-01
Series:Pan-American Journal of Mathematics
Online Access:https://mathyze.com/index.php/pajm/article/view/17
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author Benard Okelo
Francis Odhiambo
Jeffar Oburu
author_facet Benard Okelo
Francis Odhiambo
Jeffar Oburu
author_sort Benard Okelo
collection DOAJ
description New sharp estimates for coefficients of pseudo-monoidal type polynomials are given for the class of norm-attainable operators. Moreover, we show the existence of an equivalence relation in the case of the class of norm-attainable operators with the Bergman determinant for the class of composition operators.
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spelling doaj.art-df233dd505704f1180751553030466d02023-12-17T09:16:13ZengMathyze PublishersPan-American Journal of Mathematics2832-42932022-07-011010.28919/cpr-pajm/1-11On Sharp Estimates of Coefficients for Polynomials in Norm-Attainable ClassesBenard OkeloFrancis OdhiamboJeffar OburuNew sharp estimates for coefficients of pseudo-monoidal type polynomials are given for the class of norm-attainable operators. Moreover, we show the existence of an equivalence relation in the case of the class of norm-attainable operators with the Bergman determinant for the class of composition operators.https://mathyze.com/index.php/pajm/article/view/17
spellingShingle Benard Okelo
Francis Odhiambo
Jeffar Oburu
On Sharp Estimates of Coefficients for Polynomials in Norm-Attainable Classes
Pan-American Journal of Mathematics
title On Sharp Estimates of Coefficients for Polynomials in Norm-Attainable Classes
title_full On Sharp Estimates of Coefficients for Polynomials in Norm-Attainable Classes
title_fullStr On Sharp Estimates of Coefficients for Polynomials in Norm-Attainable Classes
title_full_unstemmed On Sharp Estimates of Coefficients for Polynomials in Norm-Attainable Classes
title_short On Sharp Estimates of Coefficients for Polynomials in Norm-Attainable Classes
title_sort on sharp estimates of coefficients for polynomials in norm attainable classes
url https://mathyze.com/index.php/pajm/article/view/17
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AT francisodhiambo onsharpestimatesofcoefficientsforpolynomialsinnormattainableclasses
AT jeffaroburu onsharpestimatesofcoefficientsforpolynomialsinnormattainableclasses