Basic inequalities for multipoint Padé approximants to Stieltjes functions

• Autorzy: Tokarzewski S. , Telega J. J. , Pindor M. , Gilewicz J.
• Języki publikacji: EN

Abstrakty

EN

Basic inequalities for diagonal and subdiagonal multipoint Padé approximants to N power series expansions of Stieltjes function f0 at points x1, x2,...,xN are derived. For particular cases the inequalities obtained reduce to those obtained earlier for one-, two- and three-point Padé approximants in [1], [5] and [23], respectively. Numerical examples illustrating the relations achieved are also provided. Our results can be applied to the determination of bounds on the effective moduli of bone subjected to torsion and composites in the case of transport equations.

Słowa kluczowe

EN

multipoint Padé approximants; Stieltjes functions

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2002
• Tom: Vol. 54, nr 2
• Strony: 141--153
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Tokarzewski S.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warsaw, Poland

autor

Telega J. J.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warsaw, Poland

autor

Pindor M.

• Institute of Theoretical Physics, Warsaw, Hoża 69, 00-681 Warsaw, Poland

autor

Gilewicz J.

• Centre de Physique Theorique, CNRS, Luminy Case 907, 13288 Marseille Cedex 09, France

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