Some inequalities for rational function with prescribed poles and restricted zeros
Abstract: In this article, we first prove some auxiliary results in the form of lemmas using an improved Schwarz lemma at the boundary recently proved by Mercer. Furthermore, we establish some new inequalities for rational functions on the unit disk in the complex plane with prescribed poles and restricted zeros. It is of interest to know that in the bounds of theorems we prove, four extremal coefficients of the numerator polynomial are incorporated rather than usually two coefficients in the existing literature. Moreover, our results strengthen some recent results concerning the inequalities for rational functions and, in turn, produce refinements of some polynomial inequalities as particular cases.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Some inequalities for rational function with prescribed poles and restricted zeros ; volume:58 ; number:1 ; year:2025 ; extent:15
Demonstratio mathematica ; 58, Heft 1 (2025) (gesamt 15)
- Creator
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Soraisam, Robinson
Devi, Khangembam Babina
Chanam, Barchand
- DOI
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10.1515/dema-2025-0102
- URN
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urn:nbn:de:101:1-2502280613182.787282929363
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:27 AM CEST
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Associated
- Soraisam, Robinson
- Devi, Khangembam Babina
- Chanam, Barchand
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