Nonlinear Chebyshev approximation to set-valued functions
| Autor: | Fabián Eduardo Levis, Hector H. Cuenya |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Equioscillation theorem
Discrete mathematics Approximation theory Control and Optimization Applied Mathematics media_common.quotation_subject 010102 general mathematics Management Science and Operations Research Characterization (mathematics) Type (model theory) Infinity 01 natural sciences 010101 applied mathematics Set (abstract data type) Nonlinear system Applied mathematics 0101 mathematics Chebyshev equation media_common Mathematics |
| Zdroj: | Optimization. 65:1519-1529 |
| ISSN: | 1029-4945 0233-1934 |
| DOI: | 10.1080/02331934.2016.1163554 |
| Popis: | In this paper, we give a characterization of best Chebyshev approximation to set-valued functions from a family of continuous functions with the weak betweeness property. As a consequence, we obtain a characterization of Kolmogorov type for best simultaneous approximation to an infinity set of functions. We introduce the concept of a set-sun and give a characterization of it. In addition, we prove a property of Amir–Ziegler type for a family of real functions and we get a characterization of best simultaneous approximation to two functions |
| Databáze: | OpenAIRE |
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