Volume 32, Issue 4
Weighted Best Local Approximation

Anal. Theory Appl., 32 (2016), pp. 355-372

Published online: 2016-10

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• Abstract
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, introduced by Chui et al. in 1984 are extensively used.
• Keywords

Best Local approximation multipoint approximation balanced neighborhood

41A10 41A65

@Article{ATA-32-355, author = {S. Favier and C. Ridolfi}, title = {Weighted Best Local Approximation}, journal = {Analysis in Theory and Applications}, year = {2016}, volume = {32}, number = {4}, pages = {355--372}, abstract = {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, introduced by Chui et al. in 1984 are extensively used.}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2016.v32.n4.4}, url = {http://global-sci.org/intro/article_detail/ata/4676.html} }
TY - JOUR T1 - Weighted Best Local Approximation AU - S. Favier & C. Ridolfi JO - Analysis in Theory and Applications VL - 4 SP - 355 EP - 372 PY - 2016 DA - 2016/10 SN - 32 DO - http://doi.org/10.4208/ata.2016.v32.n4.4 UR - https://global-sci.org/intro/article_detail/ata/4676.html KW - Best Local approximation KW - multipoint approximation KW - 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, introduced by Chui et al. in 1984 are extensively used.