2011 | OriginalPaper | Chapter
Statistical L p -Convergence of Bivariate Smooth Picard Singular Integral Operators
Authors : George A. Anastassiou, Oktay Duman
Published in: Towards Intelligent Modeling: Statistical Approximation Theory
Publisher: Springer Berlin Heidelberg
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In this chapter, we obtain some statistical approximation results for the bivariate smooth Picard singular integral operators defined on
L
p
-spaces, which do not need to be positive in general. Also, giving a non-trivial example we show that the statistical
L
p
-approximation is stronger than the ordinary one. This chapter relies on [29].