A Turán type inequality for rational functions with prescribed poles |
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Authors: | D. S. Yu S. P. Zhou |
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Affiliation: | (1) Institute of Mathematics, Zhejiang Sci-Tech University, Xiasha Economic Development Area, Hangzhou, Zhejiang 310018, China;(2) Institute of Mathematics, Zhejiang Sci-Tech University, Xiasha Economic Development Area, Hangzhou, Zhejiang 310018, China |
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Abstract: | 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 Lpspaces for 1≤p≤∞while loosing the restriction ρ > 2 at the same time. |
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Keywords: | inequality polynomial real zero |
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