A Turán type inequality for rational functions with prescribed poles

D. S. Yu; S. P. Zhou

doi:10.1007/s10474-005-0227-6

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Acta Mathematica Hungarica

Volume/Issue:: Volume 108: Issue 4

A Turán type inequality for rational functions with prescribed poles

Authors:

D. S. Yu

D. S. Yu Institute of Mathematics, Zhejiang Sci-Tech University, Xiasha Economic Development Area Hangzhou, Zhejiang 310018, China

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and

S. P. Zhou

S. P. Zhou Institute of Mathematics, Zhejiang Sci-Tech University, Xiasha Economic Development Area Hangzhou, Zhejiang 310018, China

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Pages:: 319–325

Online Publication Date:: 08 Sep 2005

Publication Date:: 01 Aug 2005

Article Category:: Research Article

DOI:: https://doi.org/10.1007/s10474-005-0227-6

Keywords:: inequality; polynomial; real zero

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Summary By employing a novel idea and simple techniques, we substantially generalize the Turán type inequality for rational functions with real zeros and prescribed poles established by Min [5] to include L^p spaces for 1≤ p ≤ ∞ while loosing the restriction ρ > 2 at the same time.

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Acta Mathematica Hungarica

Print ISSN:: 0236-5294

Online ISSN:: 1588-2632

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Acta Mathematica Hungarica
Language	English
Size	B5
Year of Foundation	1950
Volumes per Year	3
Issues per Year	6
Founder	Magyar Tudományos Akadémia
Founder's Address	H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher	Akadémiai Kiadó Springer Nature Switzerland AG
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0236-5294 (Print)
ISSN	1588-2632 (Online)