2017
Том 69
№ 9

All Issues

(ϕ, α)-Strong Summability of Fourier–Laplace Series for Functions Continuous on a Sphere

Lasuriya R. A.

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Abstract

We establish upper bounds for approximations by generalized Totik strong means applied to deviations of Cezàro means of critical order for Fourier–Laplace series of continuous functions. The estimates obtained are represented in terms of uniform best approximations of continuous functions on a unit sphere.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 5, pp 806-818.

Citation Example: Lasuriya R. A. (ϕ, α)-Strong Summability of Fourier–Laplace Series for Functions Continuous on a Sphere // Ukr. Mat. Zh. - 2002. - 54, № 5. - pp. 656-665.

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