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A Turán type inequality for rational functions with prescribed poles

✍ Scribed by D. S. Yu; S. P. Zhou


Publisher
Akadmiai Kiad
Year
2005
Tongue
English
Weight
126 KB
Volume
109
Category
Article
ISSN
1588-2632

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We extend some results of Giroux and Rahman (Trans. Amer. Math. Soc. 193 (1974), 67 98) for Bernstein-type inequalities on the unit circle for polynomials with a prescribed zero at z=1 to those for rational functions. These results improve the Bernstein-type inequalities for rational functions. The