INVESTIGADORES
LEVIS Fabian Eduardo
artículos
Título:
Nonlinear Chebyshev approximation to set valued functions
Autor/es:
F.E. LEVIS; H.H. CUENYA
Revista:
OPTIMIZATION
Editorial:
TAYLOR & FRANCIS LTD
Referencias:
Lugar: Londres; Año: 2016 vol. 65 p. 1519 - 1529
ISSN:
0233-1934
Resumen:
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 simultaneousapproximation 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.
