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Weighted Best Local Approximation

Weighted Best Local Approximation
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摘要 In this survey, the notion of a balanced best multipoint local approximation is fully exposed since they were treated in the LP spaces and recent results in Orlicz spaces. The notion of balanced point, which was introduced by Chui et al. in 1984 are extensively used. In this survey, the notion of a balanced best multipoint local approximation is fully exposed since they were treated in the LP spaces and recent results in Orlicz spaces. The notion of balanced point, which was introduced by Chui et al. in 1984 are extensively used.
出处 《Analysis in Theory and Applications》 CSCD 2016年第1期1-19,共19页 分析理论与应用(英文刊)
关键词 Best local approximation multipoint approximation balanced neighborhood. Best local approximation, multipoint approximation, balanced neighborhood.
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  • 1H.H.Cuenya,M.D.Lorenzo,C.N.Rodriguez.WEIGHTED INEQUALITIES AND APPLICATIONS TO BEST LOCAL APPROXIMATION IN LUXEMBURG NORM[J].Analysis in Theory and Applications,2004,20(3):265-280. 被引量:2
  • 2Beatson, R,Chui, C.Best Multipoint Local Approximation[].Functional Analysis and Approximation.1981
  • 3Chui, C,Harvey, D,Louise, R,Raphael A.On Best Data Approximation[].Journal of Approximation Theory.1984
  • 4Favier,S.Convergence of Function Averages in Orlicz Spaces[].Number Funct Anal and Optimiz.1994
  • 5Krasnosel’skii, M. A,Ya. B. Rutickii.Convex Function and Orlicz Spaces[]..1961
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