Abstract
Let f be a continuous function on the interval [a, b] ⊂ ℝ |R which is to be approximated by an approximation function Φ ∈ C[a, b]. Φ shall be dependent on x ∈ [a, b] and on certain parameters \( c_0 ,c_1 , \ldots ,c_n \):\( \Phi (x): = \Phi (x,c_0 ,c_1 , \ldots ,c_n ) = \Phi (x,c)\,for c = (c_0 ,c_1 , \ldots ,c_n )^T. \) The Parameters are to be determined in such a way that the distance between f and Φ as functions on [a, b] is minimized in a manner still to be specified.
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Bibliography
Bibliography for Section 8.1.4 and 8.1.5
[BJÖR74], 4; [BOOR79]; [COLL68], §25; [COLL73], 3.3, 3.4; [HÄMM91], Chap.1; [ISAA66], 5; [LOAN92]; [MEIN67]; [NIED84], 13; [SCHW89], 4.3; [SPÄ74/1]; [STIE63], 3.1, 7.2; [TÖRN79] vol. 2, 11.4-11.8; [WERN79], II; [ZURM65], §22–24.
Bibliography for Section 8.1.6
[ATKI89], 4.6; [BALÁ93]; [CHEN82]; [CZIP58]; [KILG93]; [KINC90], 6.8, 6.9; [LORE86]; [MEIN67]; [SINW82]
Bibliography for Section 8.2
[SPÄT74/1].
Bibliography
[ATKI89]; [CHEN82]; [CONT80], 6; [HÄMM91], 4; [KINC90]; [LORE86]; [MAES88], 6; [NIED87], 6; [SCHW89], 7.
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© 1996 Springer-Verlag Berlin Heidelberg
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Engeln-Müllges, G., Uhlig, F. (1996). Linear and Nonlinear Approximation. In: Numerical Algorithms with C. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61074-5_8
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DOI: https://doi.org/10.1007/978-3-642-61074-5_8
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