scholarly journals Operator norm bounds and error bounds for quadratic spline interpolation

1979 ◽  
Vol 4 (1) ◽  
pp. 159-175 ◽  
Author(s):  
Martin Marsden
Keyword(s):  
Error Bounds ◽  
Spline Interpolation ◽  
Operator Norm ◽  
Quadratic Spline

Quadratic spline interpolation on uniform meshes

1990 ◽  
Vol 30 (3) ◽  
pp. 484-489 ◽  
Author(s):  
M. N. El Tarazi
Keyword(s):  
Spline Interpolation ◽  
Quadratic Spline

scholarly journals Error Analysis for a Noisy Lacunary Cubic Spline Interpolation and a Simple Noisy Cubic Spline Quasi Interpolation

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Feng-Gong Lang ◽  
Xiao-Ping Xu
Keyword(s):  
Error Analysis ◽  
Error Bounds ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Cubic Spline ◽  
The Other ◽  
Cubic Spline Interpolation ◽  
Numerical Tests ◽  
New Methods ◽  
Noisy Function

We mainly present the error analysis for two new cubic spline based methods; one is a lacunary interpolation method and the other is a very simple quasi interpolation method. The new methods are able to reconstruct a function and its first two derivatives from noisy function data. The explicit error bounds for the methods are given and proved. Numerical tests and comparisons are performed. Numerical results verify the efficiency of our methods.

C2 Rational Quadratic Spline Interpolation to Monotonic Data

1983 ◽  
Vol 3 (2) ◽  
pp. 141-152 ◽  
Author(s):  
R. DELBOURGO ◽  
J. A. GREGORY
Keyword(s):  
Spline Interpolation ◽  
Quadratic Spline

A note on quadratic spline interpolation at mid-points

1982 ◽  
Vol 22 (2) ◽  
pp. 261-267 ◽  
Author(s):  
Riaz A. Usmani ◽  
Manabu Sakai
Keyword(s):  
Spline Interpolation ◽  
Quadratic Spline

scholarly journals Integro quadratic spline interpolation

2015 ◽  
Vol 39 (10-11) ◽  
pp. 2973-2980 ◽  
Author(s):  
Jinming Wu ◽  
Xiaolei Zhang
Keyword(s):  
Spline Interpolation ◽  
Quadratic Spline

scholarly journals Error bounds for spline-on-spline interpolation

1982 ◽  
Vol 36 (3) ◽  
pp. 213-225 ◽  
Author(s):  
Vaclav Dolezal ◽  
Reginald P Tewarson
Keyword(s):  
Error Bounds ◽  
Spline Interpolation
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