Asymptotic approximation of functions and their derivatives by Müller’s Gamma operators
- 53 Downloads
We obtain the complete asymptotic expansion of the image functions of Müller’s Gamma operators and of their derivatives. All expansion coefficients are explicitly calculated. Moreover, we study linear combinations of Gamma operators having a better degree of approximation than the operators themselves. Using divided differences we define general classes of linear combinations of which special cases were recently introduced and investigated by other authors.
Keywordsdivided difference positive operator Stirling numbers
Unable to display preview. Download preview PDF.
- A. Lupaş, D. H. Mache, V. Maier and M. W. Müller, Certain results involving Gammaoperators, in: ”New Developments in Approximation Theory” (International Series of Numerical Mathematics, Vol. 132), (M. W. Müller, M. Buhmann, D. H. Mache, and M. Feiten, eds.) Birkhäuser-Verlag, Basel 1998, pp. 199–214.Google Scholar
- M. W. Müller, “Die Folge der Gammaoperatoren”, Dissertation, Stuttgart, 1967.Google Scholar
- P. Sablonniére, Representation of quasi-interpolants as differential operators and applications, in: “New Developments in Approximation Theory” (International Series of Numerical Mathematics, Vol. 132), (M. W. Müller, M. Buhmann, D. H. Mache, and M. Feiten, eds.) Birkhäuser-Verlag, Basel 1998, pp. 233–253.Google Scholar