A RAFU linear space uniformly dense in C [a, b]

Eduardo Corbacho Cortés

doi:10.4995/agt.2013.1617

Authors

Eduardo Corbacho Cortés University of Extremadura

DOI:

https://doi.org/10.4995/agt.2013.1617

Keywords:

RAFU, Uniform density, Uniform approximation, Radical functions, Approximation algorithm

Abstract

In this paper we prove that a RAFU (radical functions) linear space, âˆ, is uniformly dense in C [a, b] by means of a S-separation condition of certain subsets of [a, b] due to Blasco-Moltó. This linear space is not a lattice or an algebra. Given an arbitrary function f 2 C [a, b] we will obtain easily the sequence (Cn)n of âˆ that converges uniformly to f and we will show the degree of uniform approximation to f with (Cn)n.

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Author Biography

Eduardo Corbacho Cortés, University of Extremadura

Department of Mathematics

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