Abstract
In this chapter, we relax the positivity condition of linear operators in the Korovkin-type approximation theory via the concept of statistical convergence. Especially, we prove some Korovkin-type approximation theorems providing the statistical convergence to derivatives of functions by means of a class of linear operators. This chapter relies on [18].
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© 2011 Springer-Verlag Berlin Heidelberg
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Anastassiou, G.A., Duman, O. (2011). Relaxing the Positivity Condition of Linear Operators in Statistical Korovkin Theory. 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_9
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DOI: https://doi.org/10.1007/978-3-642-19826-7_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19825-0
Online ISBN: 978-3-642-19826-7
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