Approximation properties of sums of the form \(\Sigma _k \lambda _k h (\lambda _k z)\)
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Publication:2518014
DOI10.1134/S0001434608050015zbMath1160.30022MaRDI QIDQ2518014
Publication date: 12 January 2009
Published in: Mathematical Notes (Search for Journal in Brave)
maximum principleapproximation of analytic functionsMergelyan's theoremsimple fractionsnumerical derivation and integration
Related Items (12)
Approximation by amplitude and frequency operators ⋮ Convergence rate of one class of differentiating sums ⋮ Numerical analysis of the method of differentiation by means of real \(h\)-sums ⋮ Rate of approximation of \(z f^\prime (z)\) by special sums associated with the zeros of the Bessel polynomials ⋮ Approximation by sums of shifts of a single function on the circle ⋮ 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 ⋮ Interpolation by generalized exponential sums with equal weights ⋮ Approximation by sums of the form \(\sigma_k\lambda_k h(\lambda_kz)\) in the disk ⋮ Approximation by simple partial fractions and their generalizations ⋮ Density of quantized approximations
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