| 1. |
Gilewicz J.♦, Pindor M.♦, Telega J.J., Tokarzewski S., N-point Padé approximants and two sided estimates of errors on the real axis for Stieltjes functions,
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, ISSN: 0377-0427, DOI: 10.1016/j.cam.2003.12.051, Vol.178, pp.247-253, 2005 Abstract:
Upper and lower estimates of Stieltjes function by N-point Padé approximants can be obtained using the new general inequality reported by Tokarzewski et al. (Arch. Mech. 54 (2002) 141–153) and rigorously proved in the present paper. In addition, we prove that the multipoint Padé approximants to Stieltjes function are symmetric with respect to the order of choice of the considered points. Keywords:
N-point Padé approximants, Stieltjes functions Affiliations:
| Gilewicz J. | - | other affiliation | | Pindor M. | - | other affiliation | | Telega J.J. | - | IPPT PAN | | Tokarzewski S. | - | IPPT PAN |
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| 2. |
Gilewicz J.♦, Pindor M.♦, Telega J.J., Tokarzewski S., Continued fractions, two-point Padé approximants and errors in the Stieltjes case,
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, ISSN: 0377-0427, DOI: 10.1016/S0377-0427(01)00538-6, Vol.145, No.1, pp.99-112, 2002Abstract:
A Stieltjes function is expanded in mixed T- and S-continued fraction. The relations between approximants of this continued fraction and two-point Padé approximants are established. The method used by Gilewicz and Magnus (J. Comput. Appl. Math. 49 (1993) 79; Integral Transforms Special Functions 1 (1993) 9) has been adapted to obtain the exact relations between the errors of the contiguous two-point Padé approximants in the whole cut complex plane. Keywords:
Two-point Padé approximation, Stieltjes functions Affiliations:
| Gilewicz J. | - | other affiliation | | Pindor M. | - | other affiliation | | Telega J.J. | - | IPPT PAN | | Tokarzewski S. | - | IPPT PAN |
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