Error Analysis for a Noisy Lacunary Cubic Spline Interpolation and a Simple Noisy Cubic Spline Quasi Interpolation
Keyword(s):
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.
2013 ◽
Vol 427-429
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pp. 1394-1397
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2018 ◽
Vol 6
(3)
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pp. 277-288
2015 ◽
Vol 3
(1)
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pp. 22-26
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2014 ◽
Vol 960-961
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pp. 704-709
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2012 ◽
Vol 446-449
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pp. 1261-1265
2022 ◽
Vol 12
(2)
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pp. 1893
2021 ◽
Vol 9
(1)
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pp. 75-91
1976 ◽
Vol 16
(2)
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pp. 105-122
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2020 ◽
Vol 9
(8)
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pp. 6307-6318
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