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Asymptotic Approximation with a Sequence of Positive Linear Operators |
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| Authors: | Ulrich Abel Mircea Ivan |
| Affiliation: | (1) Fachhochschule Giessen-Friedberg, University of Applied Sciences, Fachbereich MND, Wilhelm-Leuschner-Strasse 13, 61169 Friedberg, Germany;(2) Department of Mathematics, Technical University of Cluj-Napoca, 3400 Cluj-Napoca, Romania |
| Abstract: | The rate of pointwise convergence for a sequence of positive linear operators Ln approximating continuous functions on a finite interval is considered. The complete asymptotic expansion for the operators Ln as n tends to infinity is presented. It turns out that the central factorial numbers of first and second kind play an important role in the asymptotic expansion. The present work is an extension to that reported by Ivan and Ra a. |
| Keywords: | Divided differences linear operators Stirling numbers central factorial numbers asymptotic expansion |
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