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

• Corbacho Cortés, E. ^[1]
  1. [1] Universidad de Extremadura

     Universidad de Extremadura

     Badajoz, España

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 14, Nº. 1, 2013, págs. 53-60
• Idioma: inglés
• DOI: 10.4995/agt.2013.1617
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• Resumen

  • In this paper we prove that a RAFU (radical functions) linear space, ∁, 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 ∁ that converges uniformly to f and we will show the degree of uniform approximation to f with (Cn)n.

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