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Some aspects of simultaneous rational approximation. (English) Zbl 0733.41025
Numerical analysis and mathematical modelling, Banach Cent. Publ. 24, 51-84 (1990).
[For the entire collection see Zbl 0699.00036.]
The author considers the problem of approximating n functions with rationals with the same denominator, the rationals being determined by interpolation conditions analogous to the Padé case. He studies recursion relations analogous to the classical continued fractions relations and proves convergence results involving conditions on the coefficients in the recursion relations.

41A21 Padé approximation
41A28 Simultaneous approximation
41A20 Approximation by rational functions
Zbl 0699.00036