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A Bernstein-type inequality for rational functions in weighted Bergman spaces

โœ Scribed by Baranov, Anton; Zarouf, Rachid


Book ID
118052873
Publisher
Elsevier Science
Year
2013
Tongue
French
Weight
285 KB
Volume
137
Category
Article
ISSN
0007-4497

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On the Bernstein Inequality for Rational
โœ Roy Jones; Xin Li; R.N. Mohapatra; R.S. Rodriguez ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 390 KB

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