Topicos de aproximação em espaços normados
AUTOR(ES)
Lucelia Aparecida Radin
DATA DE PUBLICAÇÃO
2002
RESUMO
In this work we treat some topics of the Approximation Theory in the real normed spaces, such as the existence and uniqueness of the element of best approximation and the continuity of the metric projection. We present examples and counter-examples of sets of existence and Chebyshev sets. We also treat the problem of connectedness of Chebyshev sets in Hilbert spaces. Furthermore, we study some classes of spaces with specific geometrical properties such as uniform convexity and smootheness, for which is possible to guarantee an affirmative answer for the following question: is every set of Chebyshev convex?
ASSUNTO(S)
teoria da aproximação chebyshev sol aproximação de
