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Estimates for the Lorentz degree of polynomials

✍ Scribed by Tamás Erdélyi


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
524 KB
Volume
67
Category
Article
ISSN
0021-9045

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Estimates for the uniform norm of comple
✍ Richard Fournier; Gérard Letac; Stephan Ruscheweyh 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 106 KB

## Abstract Let ‖ · ‖ denote the uniform norm in the unit disk of the complex plane ℂ. The main result in this note is as follows: __For any complex polynomial P of degree at most n and any α__ ∈ ℂ __the inequality__ ‖__P__ ‖ ⩽ (__n__ + 1)(‖__z P__ (__z__) + __α__ ‖ ‐ |__α__ |) __holds.__ For any