An extension of best  L 2  local approximation

Héctor H. Cuenya ^[1] ; David E. Ferreyra ^[1] ; Claudia V. Ridolfi ^[2]
1. [1] Universidad Nacional de Río Cuarto
  
  Universidad Nacional de Río Cuarto
  
  Argentina
2. [2] Universidad Nacional de San Luis
  
  Universidad Nacional de San Luis
  
  Argentina
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 58, Nº. 2, 2017, págs. 331-342
Idioma: inglés
Enlaces
- Texto completo (pdf)
Resumen
- We introduce two classes of functions, one containing the class of L2 differentiable functions, and another containing the class of L2 lateral differentiable functions. For functions in these new classes we prove existence of best local approximation at several points. Moreover, we get results about the asymptotic behavior of the derivatives of the net of best approximations, which are unknown even for L2 differentiable functions.