- Autor
- Serdyuk, Anatoly
- Stepaniuk, Tetiana
- TitelLebesque-type inequalities for the Fourier sums on classes of generalized Poisson integrals
- Datei
- Erschienen inBulletin de la Soc. Sci. Lettres Lodz. Ser. Rech. Deform
- Erscheinungsjahr2018
- LicenceCC-BY
- Download Statistik829
- Peer ReviewJa
- AbstractFor functions from the set of generalized Poisson integrals \(C_β^{α,r} L_p , 1 ≤ p < ∞\), we obtain upper estimates for the deviations of Fourier sums in the uniform metric in terms of the best approximations of the generalized derivatives \(f_β^{α,r}\) of functions of this kind by trigonometric polynomials in the metric of the spaces \(L_p\) . Obtained estimates are asymptotically best possible.
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