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The Asymptotic Formula for the Error in Orthogonal Projection
Author(s) -
Beśka Marek,
Dziedziul Karol
Publication year - 2002
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200201)233:1<47::aid-mana47>3.0.co;2-h
Subject(s) - mathematics , projection (relational algebra) , orthographic projection , calculus (dental) , geometry , algorithm , orthodontics , medicine
We give the asymptotic formula for the error in orthogonal projection. We generalize the result of Daubechies and Unser . The lower bound on the approximation order for shift‐invariant spaces in L 2 (ℝ d ) was examined by de Boor , DeVore and Ron .