average case setting
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EC-(s,t)-weak tractability of multivariate linear problems in the average case setting

2019 ◽  
Vol 55 ◽  
pp. 101425 ◽  
Author(s):  
Anargyros Papageorgiou ◽  
Iasonas Petras ◽  
Guiqiao Xu ◽  
Dong Yanqi
Keyword(s):  
Average Case ◽  
Linear Problems ◽  
Multivariate Linear Problems ◽  
Average Case Setting

Average errors for Kantorovitch operators on r-fold integrated Wiener space

2014 ◽  
Vol 12 (05) ◽  
pp. 1461013
Author(s):  
Guiqiao Xu ◽  
Xingrui Gao
Keyword(s):  
Simultaneous Approximation ◽  
Weighted Approximation ◽  
Wiener Space ◽  
Average Case ◽  
Saturation Properties ◽  
Average Case Setting

For weighted approximation in Lp-norm, we determine strongly asymptotic orders for simultaneous approximation average errors of sequence of Kantorovitch operators on r-fold integrated Wiener space. These results show the saturation properties of the Kantorovitch operators in the average case setting.

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