Multiple Fourier sums and ψ-strong means of their deviations on the classes of ψ-differentiable functions of many variables

We present results concerning the approximation of ψ-differentiable functions of many variables by rectangular Fourier sums in uniform and integral metrics and establish estimates for φ-strong means of their deviations in terms of the best approximations.

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Datum:2007
Hauptverfasser: Lasuriya, R. A., Stepanets, O. I., Ласурия, Р. А., Степанец, А. И.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2007
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/3371
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:We present results concerning the approximation of ψ-differentiable functions of many variables by rectangular Fourier sums in uniform and integral metrics and establish estimates for φ-strong means of their deviations in terms of the best approximations.