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This article is cited in 2 scientific papers (total in 2 papers)
On Series Arising from the Approximation of Periodic Differentiable Functions by Poisson Integrals
V. P. Zastavnyi Donetsk National University
Abstract:
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, Poisson integral, Bernoulli polynomial, Euler polynomial, Stirling numbers, conformal mapping.
Received: 10.06.2008 Revised: 24.12.2008
Citation:
V. P. Zastavnyi, “On Series Arising from the Approximation of Periodic Differentiable Functions by Poisson Integrals”, Mat. Zametki, 86:4 (2009), 497–511; Math. Notes, 86:4 (2009), 469–482
Linking options:
https://www.mathnet.ru/eng/mzm5182https://doi.org/10.4213/mzm5182 https://www.mathnet.ru/eng/mzm/v86/i4/p497
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Abstract page: | 637 | Full-text PDF : | 217 | References: | 89 | First page: | 16 |
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