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




Related Items (30)

On numerical approximation of differential polynomialsApproximation by linear fractional transformations of simple partial fractions and their differencesNumerical analysis of the method of differentiation by means of real \(h\)-sumsUniqueness of a simple partial fraction of best approximationA criterion for the best uniform approximation by simple partial fractions in terms of alternance. IIApproximation by sums of shifts and dilations of a single function and neural networksGreedy approximation by arbitrary setsRate of interpolation of analytic functions with regularly decreasing coefficients by simple partial fractionsOn a nontraditional method of approximationApproximation by sums of shifts of a single function on the circleBest local approximation by simplest fractionsAn example of non-uniqueness of a simple partial fraction of the best uniform approximationApproximation by special differences of simplest fractionsOn approximation of the rational functions, whose integral is single-valued on C, by differences of simplest fractionsA criterion for the solvability of the multiple interpolation problem by simple partial fractionsOn the rate of approximation in the unit disc of -functions by logarithmic derivatives of polynomials with zeros on the boundaryExtremal and approximative properties of simple partial fractionsEstimates of the best approximation of polynomials by simple partial fractionsEstimates of the distances to direct lines and rays from the poles of simplest fractions bounded in the norm of \(L_p\) on these setsMergelyan’s theorem with polynomials non-vanishing on unions of setsApproximation by sums of the form \(\sigma_k\lambda_k h(\lambda_kz)\) in the diskCriteria for the best approximation by simple partial fractions on semi-axis and axisLeast deviation of logarithmic derivatives of algebraic polynomials from zeroApproximation to constant functions by electrostatic fields due to electrons and positronsApproximation by simple partial fractions and their generalizationsDensity of quantized approximationsApproximation 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 constantsApproximation by simple partial fractions in unbounded domainsApproximation by simple partial fractions: universal sets of poles







This page was built for publication: Approximation by simple fractions