Abstract
In this chapter, we study the statistical approximation properties of a sequence of bivariate smooth Gauss-Weierstrass singular integral operators which are not positive in general. We also show that the statistical approximation results are stronger than the classical uniform approximations. This chapter relies on [28].
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© 2011 Springer-Verlag Berlin Heidelberg
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Anastassiou, G.A., Duman, O. (2011). Uniform Approximation in Statistical Sense by Bivariate Gauss-Weierstrass Singular Integral Operators. In: Towards Intelligent Modeling: Statistical Approximation Theory. Intelligent Systems Reference Library, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19826-7_3
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DOI: https://doi.org/10.1007/978-3-642-19826-7_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19825-0
Online ISBN: 978-3-642-19826-7
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