IMASL 20939
INSTITUTO DE MATEMATICA APLICADA DE SAN LUIS "PROF. EZIO MARCHI"
Unidad Ejecutora - UE
artículos
Título:
An extension of best L2 local approximation
Autor/es:
H.H. CUENYA; D.E. FERREYRA; C.V. RIDOLFI
Revista:
Revista de la Unión Matemática Argentina
Editorial:
UMA
Referencias:
Lugar: Bahia Blanca; Año: 2017 vol. 53 p. 143 - 154
ISSN:
0041-6932
Resumen:
We introduce two classes of functions, one containing the classof L2 differentiable functions, and another containing the class of L2 lateraldifferentiable functions. For functions in these new classes we prove existenceof best local approximation at several points. Moreover, we get results aboutthe asymptotic behavior of the derivatives of the net of best approximations,which are unknown even for L2 differentiable functions.
