Weighted Best Local Approximation

S. FAVIER; RIDOLFI, C.

Analysis in Theory and Applications

The Global Science Journal

Lugar: Nanjing; Año: 2016 vol. 32 p. 1 - 19

1672-4070

The notion of a best  multipoint local approximations of a functionis fully treated in cite{CDR84} where the $L^p$ norm is used.Later, other approaches to best multipoint local approximations with$L^p$ norms appeared in cite{M86} and cite{AW81}. And finally, forOrlicz norms, we mention cite{F94}, cite{CLR04}, cite{FR08},cite{CLMR11}, cite{CLR12} and for a general family of normscite{CLR07}, cite{CZ07} and cite{MZ84}. However, in cite{CDR84},Chui et al. introduced the concept of balanced points in $L^{p}$which includes different importance in each point.