Uniform Estimates in Maximum Norms and Uniqueness of Solutions of the Dirichlet Problem
✍ Scribed by Günter Albinus
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 336 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0025-584X
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📜 SIMILAR VOLUMES
## 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
The existence and uniqueness theorem is obtained Ž . Ž Ž .. Ž . for the solution of the Cauchy problem xЈ t s f t, x t , x t s x , for the 0 0 fuzzy-valued mappings of a real variable whose values are normal, convex, upper semicontinuous, and compactly supported fuzzy sets in R n , where the functio