Approximation of functions of several variables by multidimensional $S$-fractions with independent variables
نویسندگان
چکیده
The paper deals with the problem of approximation functions several variables by branched continued fractions. We study correspondence between formal multiple power series and so-called "multidimensional $S$-fraction independent variables". As a result, necessary sufficient conditions for expansion into corresponding multidimensional have been established. Several numerical experiments show efficiency, feasibility using fractions in order to numerically approximate certain from their series.
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ژورنال
عنوان ژورنال: Carpathian Mathematical Publications
سال: 2021
ISSN: ['2075-9827', '2313-0210']
DOI: https://doi.org/10.15330/cmp.13.3.592-607