Error Analysis for a Noisy Lacunary Cubic Spline Interpolation and a Simple Noisy Cubic Spline Quasi Interpolation | Zendy

Feng-Gong Lang | Zendy; Xiaoping Xu | Zendy

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

Author(s) -

Feng-Gong Lang,

Xiaoping Xu

Publication year - 2014

Publication title -

advances in numerical analysis

Language(s) - English

Resource type - Journals

eISSN - 1687-9570

pISSN - 1687-9562

DOI - 10.1155/2014/353194

Subject(s) - lacunary function , spline interpolation , monotone cubic interpolation , mathematics , interpolation (computer graphics) , smoothing spline , thin plate spline , cubic hermite spline , simple (philosophy) , spline (mechanical) , bicubic interpolation , error analysis , mathematical analysis , algorithm , computer science , bilinear interpolation , statistics , artificial intelligence , physics , motion (physics) , philosophy , epistemology , thermodynamics

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 simplequasi 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 methodsare given and proved. Numerical tests and comparisons are performed. Numerical results verify the efficiency of our methods

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