TY - JOUR T1 - Weighted Best Local Approximation JO - Analysis in Theory and Applications VL - 1 SP - 1 EP - 19 PY - 2016 DA - 2016/01 SN - 32 DO - http://doi.org/10.4208/ata.2016.v32.n1.1 UR - https://global-sci.org/intro/article_detail/ata/4650.html KW - Best local approximation, multipoint approximation, balanced neighborhood. AB -

In this survey, the notion of a balanced best multipoint local approximation is fully exposed since they were treated in the $L^p$ spaces and recent results in Orlicz spaces. The notion of balanced point, which was introduced by Chui et al. in 1984 is extensively used.