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Title: Two-point Padé approximants for Stieltjes functions and their application to composite materials

Creator:

Tokarzewski, Stanisław ; Telega, Józef J.

Date:

1998

Resource Type:

artykuł

Contributor:

Logemann, Hartmut - red. ; Townley, Stuart - red.

Subtitle:

Recent Developments in Control Theory

Group publication title:

AMCS, volume 8 (1998)

Abstract:

By employing special continued fractions to asymptotic expansions at zero and infinity, the convergence of the balanced and unbalanced two-point Padé approximants (2PPA) to a Stieltjes function is studied in a real domain. We prove that certain balanced and unbalanced two-point Padé 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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Resource Identifier:

oai:zbc.uz.zgora.pl:58047

Pages:

417-434

Source:

AMCS, volume 8, number 2 (1998) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

sterowanie sterowanie-teoria sztuczna inteligencja matematyka stosowana informatyka

Object collections:

Last modified:

Sep 3, 2021

In our library since:

Dec 21, 2020

Number of object content hits:

81

All available object's versions:

https://zbc.uz.zgora.pl/repozytorium/publication/64653

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Two-point Padé approximants for Stieltjes functions and their application to composite materials Sep 3, 2021

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