Approximation of periodic functions by interpolation polynomials in $L_1$

Asymptotically precise estimates are obtained for the deviation, in the $L_1$-norm, of interpolation polynomials with equally-spaced nodes from certain classes of functions.

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Datum:1990
Hauptverfasser: Motorny, V. P., Моторный, В. П.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1990
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/8836
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:Asymptotically precise estimates are obtained for the deviation, in the $L_1$-norm, of interpolation polynomials with equally-spaced nodes from certain classes of functions.