Continued fractions, two-point Padé approximants and errors in the Stieltjes case

Journal of Computational and Applied Mathematics

Volumn 145, Issue 1, 2002, Pages 99-112

  Gilewicz, Jacek ^a,b,e   Pindor, Maciej ^c   Telega, Józef J ^d   Tokarzewski, Stanislaw ^d  

^a CNRS   (France)

^b UNIVERSITÉ DE TOULON   (France)

^c UNIVERSITY OF WARSAW   (Poland)

^d INSTITUTE OF FUNDAMENTAL TECHNOLOGICAL RESEARCH   (Poland)

^e CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

Stieltjes functions; Two point Pad approximation

Indexed keywords

APPROXIMATION THEORY; ERRORS; MATHEMATICAL TRANSFORMATIONS;

CONTINUED FRACTIONS; WHOLE CUT COMPLEX PLANE;

COMPUTATIONAL METHODS;

MATHEMATICAL METHOD;

EID: 0036682316     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(01)00538-6     Document Type: Article

References (12)

1. Approximants de Padé
2. Inverse Stieltjes iterates and errors of Padé approximants in the whole complex plane
3. Optimal inequalities of Padé approximants errors in the Stieltjes case: Closing result
4. Optimal inequalities between the contiguous two-point Padé approximant errors in the Stieltjes case
5. Two-point Padé approximants for the expansions of Stieltjes functions in real domain
6. N-point Padé approximants to real-valued Stieltjes series with nonzero radii of convergence
7. A contribution to the bounds on real effective moduli of two-phase composite materials
8. Inequalities for two-point Padé approximants to the expansions of Stieltjes functions in real domain
9. Bounds on effective moduli by analytical continuation of the Stieltjes function expanded at zero and infinity