Abstract
We prove that certain two-point Padé approximants occupying the diagonal of the Padé table form monotone sequences of lower and upper bounds uniformly converging to a Stieltjes function. The results can be applied to the theory of inhomogeneous media for the calculation of the bounds on the effective transport coefficients of heterogeneous materials.
Original language | English |
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Pages (from-to) | 313-328 |
Number of pages | 16 |
Journal | Numerical Algorithms |
Volume | 8 |
Issue number | 2 |
DOIs | |
State | Published - Sep 1994 |
Keywords
- AMS subject classification: 41A21, 41A25, 73K20
- Continued fractions
- Padé approximants
- effective conductivity