Convergence rate of one class of differentiating sums

DOI10.13108/2021-13-4-41zbMath1499.30308OpenAlexW3212930940MaRDI QIDQ5067191

M. A. Komarov

Publication date: 1 April 2022

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa590

zbMATH Keywords

convergence rate\(h\)-sumsdifferentiating sumsdifferentiation of analytic functions

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Rate of convergence, degree of approximation (41A25) Numerical differentiation (65D25)

Cites Work

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• Approximation by amplitude and frequency operators
• Interpolation by generalized exponential sums with equal weights
• Rate of approximation of \(z f^\prime (z)\) by special sums associated with the zeros of the Bessel polynomials
• Approximation properties of sums of the form \(\Sigma _k \lambda _k h (\lambda _k z)\)

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