On one estimate of divided differences and its applications

We give an estimate of the general divided differences $[x_0, ..., x_m; f]$, where some points xi are allowed to coalesce (in this case, $f$ is assumed to be sufficiently smooth). This estimate is then applied to significantly strengthen the celebrated Whitney and Marchaud inequalities and their gen...

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Datum:2019
Hauptverfasser: Kopotun, K. A., Leviatan, D., Shevchuk, I. A., Копотун, К. А., Левіатан, Д., Шевчук, І. О.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2019
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/1434
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal