Approximation of classes of convolutions by linear operators of special form

DOI10.1134/S0001434611090033zbMath1286.41007OpenAlexW2090454433MaRDI QIDQ2435779

Viktor P. Zastavnyi, V. V. Savchuk

Publication date: 20 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434611090033

zbMATH Keywords

convolutionFourier seriesBernoulli numberslinear operatorBorel measuremoment sequenceEuler polynomialperiodic measurable function

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items (3)

Direct and inverse theorems on the approximation of \(2\pi\)-periodic functions by Taylor-Abel-Poisson operators ⋮ Asymptotics of approximation of continuous periodic functions by linear means of their Fourier series ⋮ Sharp estimates of best approximations by deviations of Weierstrass-type integrals

Cites Work

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• On series arising from the approximation of periodic differentiable functions by Poisson integrals
• Complexity of approximation problems

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