scholarly journals Investigation of methods of localization of q-jumps and discontinities of firsth king of noisy function

Author(s):  
Aleksandr Leonidovich Ageev ◽  
◽  
Tatiana Vladimirovna Antonova ◽  
Keyword(s):  
2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Feng-Gong Lang ◽  
Xiao-Ping Xu

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.


2016 ◽  
Vol 23 (3) ◽  
pp. 361-365 ◽  
Author(s):  
Khaled Kamal Saab ◽  
Samer Said Saab

2016 ◽  
Vol 62 (10) ◽  
pp. 5446-5464 ◽  
Author(s):  
Alex Samorodnitsky
Keyword(s):  

2019 ◽  
Vol 73 (3) ◽  
pp. 615-636
Author(s):  
Diariétou Sambakhé ◽  
Lauriane Rouan ◽  
Jean-Noël Bacro ◽  
Eric Gozé

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