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

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...

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Datum:2002
Hauptverfasser: Lasuriya, R. A., Ласурия, Р. А.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2002
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/4104
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal