Approximation by simple fractions
From MaRDI portal
Publication:1809969
DOI10.1023/A:1012328819487zbMath1025.30001OpenAlexW71910956MaRDI QIDQ1809969
D. Ya. Danchenko, Vladimir I. Danchenko
Publication date: 15 June 2003
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1012328819487
best uniform approximationBernstein-Walsh theoremapproximation by simplest fractions of complex functionsGorin probleminterpolation of polynomialsinterpolation of regular functionsPadé fraction
Approximation in the complex plane (30E10) Proceedings, conferences, collections, etc. pertaining to functions of a complex variable (30-06)
Related Items (30)
On numerical approximation of differential polynomials ⋮ Approximation by linear fractional transformations of simple partial fractions and their differences ⋮ Numerical analysis of the method of differentiation by means of real \(h\)-sums ⋮ Uniqueness of a simple partial fraction of best approximation ⋮ A criterion for the best uniform approximation by simple partial fractions in terms of alternance. II ⋮ Approximation by sums of shifts and dilations of a single function and neural networks ⋮ Greedy approximation by arbitrary sets ⋮ Rate of interpolation of analytic functions with regularly decreasing coefficients by simple partial fractions ⋮ On a nontraditional method of approximation ⋮ Approximation by sums of shifts of a single function on the circle ⋮ Best local approximation by simplest fractions ⋮ An example of non-uniqueness of a simple partial fraction of the best uniform approximation ⋮ Approximation by special differences of simplest fractions ⋮ On approximation of the rational functions, whose integral is single-valued on C, by differences of simplest fractions ⋮ A criterion for the solvability of the multiple interpolation problem by simple partial fractions ⋮ On the rate of approximation in the unit disc of -functions by logarithmic derivatives of polynomials with zeros on the boundary ⋮ Extremal and approximative properties of simple partial fractions ⋮ Estimates of the best approximation of polynomials by simple partial fractions ⋮ Estimates of the distances to direct lines and rays from the poles of simplest fractions bounded in the norm of \(L_p\) on these sets ⋮ Mergelyan’s theorem with polynomials non-vanishing on unions of sets ⋮ Approximation by sums of the form \(\sigma_k\lambda_k h(\lambda_kz)\) in the disk ⋮ Criteria for the best approximation by simple partial fractions on semi-axis and axis ⋮ Least deviation of logarithmic derivatives of algebraic polynomials from zero ⋮ Approximation to constant functions by electrostatic fields due to electrons and positrons ⋮ Approximation by simple partial fractions and their generalizations ⋮ Density of quantized approximations ⋮ Approximation properties of sums of the form \(\Sigma _k \lambda _k h (\lambda _k z)\) ⋮ Algorithm for constructing simple partial fractions of the best approximation of constants ⋮ Approximation by simple partial fractions in unbounded domains ⋮ Approximation by simple partial fractions: universal sets of poles
This page was built for publication: Approximation by simple fractions