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Two-sided approximations of functions and derivatives by the Cauchy formula for analytic functions. (Ukrainian. English summary) Zbl 1064.65509
Summary: Appropriateness of approximation of analytic functions of complex variable, their derivatives of the high order, as well as analytically continued function of real variable with the help of the numerical integration of the integral of the Cauchy formula is shown. Based on two-sided quadrature formulas there are proposed two-sided approximations of functions and their derivatives.
65E05 General theory of numerical methods in complex analysis (potential theory, etc.)
30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane