Abstract
By using the method of generalized moment representations with an operator of bilinear transformation of an independent variable, we construct elements of the first subdiagonal of the Padé table for certain special power series.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
V. K. Dzyadyk, “On a generalization of a moment problem,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 6, 8–12 (1981).
A. P. Golub, Generalized Moment Representations and Rational Approximations [in Russian], Preprint No. 87.25, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1987).
G. A. Baker, Jr., Essentials of Padé approximations, Academic Press, New York (1975).
S. Karlin and W. J. Studden, Tchebycheff Systems: with Applications in Analysis and Statistics, Interscience, New York (1966).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Golub, A.P. Generalized Moment Representations and Padé Approximants Associated with Bilinear Transformations. Ukrainian Mathematical Journal 54, 763–769 (2002). https://doi.org/10.1023/A:1021679212831
Issue Date:
DOI: https://doi.org/10.1023/A:1021679212831