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On some new criteria for infinite differentiability of periodic functions

The set $\mathcal{D}^{\infty}$ of infinitely differentiable periodic functions is studied in terms of generalized $\overline{\psi}$-derivatives defined by a pair $\overline{\psi} = (\psi_1, \psi_2)$ of sequences $\psi_1$ and $\psi_2$ . It is shown that every function $f$ from the set $\mathcal{D}^...

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Datum:	2007
Hauptverfasser:	Serdyuk, A. S., Stepanets, O. I., Shydlich, A. L., Сердюк, А. С., Степанець, О. І., Шидліч, А. Л.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2007
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/3398
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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