INVESTIGADORES
LEVIS Fabian Eduardo
artículos
Título:
Strong uniqueness and alternation theorems for relative Chebyshev centers
Autor/es:
F. E. LEVIS; C.V. RIDOLFI; L. ZABALA
Revista:
JOURNAL OF APPROXIMATION THEORY
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2023 vol. 293
ISSN:
0021-9045
Resumen:
In this paper, we give a strong uniqueness characterization theorem for the Chebyshev center of a set of infinitely many functions relative to a finite-dimensional linear space on a compact Hausdorff space. Additionally, we derive an alternation theorem for Chebyshev centers relative to a weak Chebyshev space on any compact set of the real line. Furthermore, we show an intrinsic characterization of those linear spaces where an alternation theorem holds.