The Average Errors for Linear Combinations of Bernstein Operators on the Wiener Space*

Abstract

In this paper, we discuss the average errors of function approximation by linear combinations of Bernstein operators. The strongly asymptotic orders for the average errors of the combinations of Bernstein operators sequence are determined on the Wiener space.

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Y. Jiang and Z. Zhang, "The Average Errors for Linear Combinations of Bernstein Operators on the Wiener Space*," Journal of Data Analysis and Information Processing, Vol. 1 No. 4, 2013, pp. 85-89. doi: 10.4236/jdaip.2013.14009.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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[3] Z. Ditzian and V. Totik, “Moduli of Smoothness,” Springer-Verlag, Berlin, 1987. http://dx.doi.org/10.1007/978-1-4612-4778-4
[4] G. Q. Xu, “The Simultaneous Approximation Average Errors for Bernstein Operators on the R-Fold Integrated Wiener Space,” Numerical Mathematics Theory Methods and Applications, Vol. 5, No. 3, 2012, pp. 403-422.
[5] G. G. Lornetz, “Bernstein Polynomials,” University of Toronto, Toronto, 1953.

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