Information representation of blockchain technology: Risk evaluation of investment by personalized quantifier with cubic spline interpolation

2021 ◽  
Vol 58 (4) ◽  
pp. 102571
Author(s):  
Zhi Wen ◽  
Huchang Liao ◽  
Ali Emrouznejad
Keyword(s):  
Risk Evaluation ◽  
Spline Interpolation ◽  
Cubic Spline ◽  
Information Representation ◽  
Cubic Spline Interpolation ◽  
Blockchain Technology

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.

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