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The uniform estimate of the magnitude of the conjugate polynomial in the plane

✍ Scribed by L. V. Taikov


Book ID
105118706
Publisher
SP MAIK Nauka/Interperiodica
Year
1993
Tongue
English
Weight
149 KB
Volume
54
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES


Estimates for the uniform norm of comple
✍ Richard Fournier; GΓ©rard Letac; Stephan Ruscheweyh πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 106 KB

## Abstract Let β€– Β· β€– denote the uniform norm in the unit disk of the complex plane β„‚. The main result in this note is as follows: __For any complex polynomial P of degree at most n and any Ξ±__ ∈ β„‚ __the inequality__ β€–__P__ β€– β©½ (__n__ + 1)(β€–__z P__ (__z__) + __Ξ±__ β€– ‐ |__Ξ±__ |) __holds.__ For any