A new hyperbolic area estimate for the level sets of finite Blaschke products is presented. The following inversion of the usual Sobolev embedding theorem is proved: Here r is a rational function of degree n with poles outside D. This estimate implies a new inverse theorem for rational approximati
β¦ LIBER β¦
Integral Formulas and Inequalities for Rational Functions
β Scribed by Xin Li
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 168 KB
- Volume
- 211
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
Some Bernstein type inequalities using the integral norm are established for rational functions. A new proof of a Bernstein type inequality of Spijker is given as an application.
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