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

DOI10.1134/S0001434609090235zbMath1246.41008MaRDI QIDQ1048596

Viktor P. Zastavnyi

Publication date: 12 January 2010

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

zbMATH Keywords

conformal mappingStirling numbersPoisson integralBernoulli polynomialEuler polynomialperiodic differentiable function

Mathematics Subject Classification ID

Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (2)

Exact estimation of an approximation of some classes of differentiable functions by convolution operators ⋮ Approximation of classes of convolutions by linear operators of special form

Cites Work

• Asymptotics of the values of approximations in the mean for classes of differentiable functions by using biharmonic Poisson integrals
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