Abstract
In this chapter some general representation formulae for (C0) m -parameter operator semigroups with rates of convergence are given by the probabilistic approach and multiplier enlargement method. These cover all known representation formulae for (C0) one-and m-parameter operator semigroups as special cases. When we consider special semigroups well-known convergence theorems for multivariate approximation operators are regained. This chapter is based on [92].
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© 2011 Springer-Verlag Berlin Heidelberg
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Anastassiou, G.A. (2011). Representations for (C0) m −Parameter Operator Semigroups. In: Intelligent Mathematics: Computational Analysis. Intelligent Systems Reference Library, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17098-0_29
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DOI: https://doi.org/10.1007/978-3-642-17098-0_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17097-3
Online ISBN: 978-3-642-17098-0
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