n-Larguras de conjuntos de funções suaves sobre a esfera S POT. d / n-Widths of sets of smooth functions on the sphere S POT. d

AUTOR(ES)
DATA DE PUBLICAÇÃO

2009

RESUMO

The purpose of this work is to study estimates of n-widths of sets of smooth functions on the d-dimensional real unitary sphere. These sets are generated by multipliers operator. Another aim is to develop a text in portuguese about the most important n-widths, your properties and relations. We do this in the first chapter. In the second chapter, we develop a brief and proof-less study about Harmonic Analysis on the d-dimensional real unitary sphere. In the third chapter, the Levy means for a class of special norms are studied and applied in the study of lower estimates for the Kolmorogov and Gel fand s n-widths, and upper estimates for the Kolmorogov s, for general multipliers operators. In the fourth and last chapter, the estimates for the n-widths of sets of smooth functions, finitely and infinitely differentiables on the sphere are studied. Several of these estimates are asymptotically exacts in terms of order and the constants that determine the order of these estimatives are given in a explicit form.

ASSUNTO(S)

analise harmonica multipliers (mathematical analysis) approximation theory teoria da aproximação n-widths multiplicadores (analise matematica) harmonic analysis n-larguras

ACESSO AO ARTIGO

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