Approximation by simple partial fractions and their generalizations

DOI10.1007/S10958-011-0440-5zbMath1290.41008OpenAlexW2001800294MaRDI QIDQ2016969

P. V. Chunaev, Vladimir I. Danchenko

Publication date: 24 June 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0440-5

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Padé approximation (41A21)

Related Items (11)

Approximation by amplitude and frequency operators ⋮ Numerical analysis of the method of differentiation by means of real \(h\)-sums ⋮ Rate of interpolation of analytic functions with regularly decreasing coefficients by simple partial fractions ⋮ On the extrapolation of analytic functions by sums of the form \(\Sigma_k\lambda_k h(\lambda_kz)\) ⋮ 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 ⋮ Extremal and approximative properties of simple partial fractions ⋮ Estimates of the best approximation of polynomials by simple partial fractions ⋮ Interpolation by generalized exponential sums with equal weights ⋮ Least deviation of logarithmic derivatives of algebraic polynomials from zero ⋮ Approximation by simple partial fractions and their generalizations

Cites Work

• On a nontraditional method of approximation
• Approximation by simple fractions
• Approximation properties of the most simple fractions
• Approximation by simple partial fractions and their generalizations
• On the rate of approximation of closed Jordan curves by lemniscates
• Approximation properties of sums of the form \(\Sigma _k \lambda _k h (\lambda _k z)\)
• Estimates of derivatives of simplest fractions and other questions
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