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A modelling by rational approximations. (English) Zbl 0844.41012
The method of calculation of coefficients of the rational function $$R(t)= \sum^{k_1}_{i_1=1} {{Ai_1} \over {t+ m_{i_1}}}$$ and two other forms of finite-continuous-functional expressions are reduced. A calculation of coefficients is produced by the method of reduction to solutions of the algebraic equations’ system. As an application, it is suggested that these expressions should be used in the approximate representation of functions by rational functions. Two numerical examples are shown.
##### MSC:
 41A20 Approximation by rational functions