Geodesic
On Series Arising from the Approximation of Periodic Differentiable Functions by Poisson Integrals
Matematičeskie zametki, Tome 86 (2009) no. 4, pp. 497-511

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For series of special form, we obtain an expansion in powers of the parameter. The coefficients of the expansion can be written out explicitly in terms of Bernoulli polynomials. In a particular case, we obtain an expansion in powers of the parameter of upper bounds for deviations of periodic differentiable functions from their Poisson integrals.
Keywords: periodic differentiable function, Stirling numbers, conformal mapping.
Mots-clés : Poisson integral, Bernoulli polynomial, Euler polynomial 
V. P. Zastavnyi. On Series Arising from the Approximation of Periodic Differentiable Functions by Poisson Integrals. Matematičeskie zametki, Tome 86 (2009) no. 4, pp. 497-511. http://geodesic.mathdoc.fr/item/MZM_2009_86_4_a2/
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