Asymptotic approximation with Stancu Beta operators

The concern of this paper is a beta type operator \(L_n\) recently introduced by D.D. Stancu. We present the complete asymptotic expansion for \(L_n\) as \(n\) tends to infinity. All coefficients of \(n^{-k} \ (k=1,2, \ldots)\) are calculated explicitly in terms of Stirling numbers of the first and...

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Bibliographic Details
Main Author: Ulrich Abel
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 1998-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/599