Two-point Pade approximants for Stieltjes functions and their application to composite materials

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

Abstrakty

EN

By employing special continued fractions to asymptotic expansions at zero and infinity, the convergence of the balanced and unbalanced two-point Pade approximants (2PPA) to a Stieltjes function is studied in a real domain. We prove that certain balanced and unbalanced two-point Pade approximants form a monotone sequence of upper and lower bounds uniformly converging to a Stieltjes function. The observed monotone and uniform convergence of 2PPA is exemplified in the evaluation of bounds on the effective transport coefficients of periodic inhomogeneous media.

Słowa kluczowe

EN

Stieltjes function; application; composite material

PL

funkcja Stieltjesa; zastosowanie; materiał zespolony

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: Applied Mathematics and Computer Science
• Rocznik: 1998
• Tom: Vol. 8, no 2
• Strony: 417--434
• Opis fizyczny: Bibliogr. 19 poz., rys., wykr.

Twórcy

autor

Tokarzewski S.

autor

Telega J. J.

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