GENERALIZED ORTHOGONALITY AND CONTINUED FRACTIONS

Authors
ISMAIL MEH MASSON DR
Citation
Meh. Ismail et Dr. Masson, GENERALIZED ORTHOGONALITY AND CONTINUED FRACTIONS, Journal of approximation theory, 83(1), 1995, pp. 1-40
Citations number
33
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of approximation theory → ACNP
ISSN journal
00219045
Volume
83
Issue
1
Year of publication
1995
Pages
1 - 40
Database
ISI
SICI code
0021-9045(1995)83:1<1:GOACF>2.0.ZU;2-M
Abstract
The connection between continued fractions and orthogonality which is familiar for J-fractions and T-fractions is extended to what we call R -fractions of types I and II. These continued fractions are associated with recurrence relations that correspond to multipoint rational inte rpolants. A Favard type theorem is proved for each type. We then study explicit models which lead to biorthogonal rational functions. (C) 19 95 Academic Press, Inc.