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Search name	Searched On	Run search
Keyword: Average Error (2)	3 Apr 2025	Run
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articleNo Access
The average errors for linear combinations of Bernstein–Kantorovich operators on the Wiener space
- Yanjie Jiang and
- Zengbo Zhang
International Journal of Wavelets, Multiresolution and Information Processing01 Sep 2014
Preview Abstract
In this paper, we discuss the average errors of function approximation by linear combinations of Bernstein–Kantorovich operators. The strongly asymptotic orders for the average errors of these operators sequence are determined on the Wiener space.
articleNo Access
Average errors for Kantorovitch operators on r-fold integrated Wiener space
- Guiqiao Xu and
- Xingrui Gao
International Journal of Wavelets, Multiresolution and Information Processing01 Sep 2014
Preview Abstract
For weighted approximation in L_p-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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