Buchumschlag

On approximation of functions from tne class $NBV[a,b]$

We prove that each function from $NBV[a,b]$ is a uniform limit of step functions of the same class, such that their marginal steps may degenerate into points and their variations are collectively bounded. In particular this yields linear span of Dirac $\delta$-measures to be sequentially dense in th...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Datum:2017
Автори та афіліації:
  • В. А. Михайлець — Інститут математики НАН України
  • Б. Б. Пелехата — Нацiональний технiчний унiверситет України "КПI"
Ключові слова:keywords
Hauptverfasser: Mikhailets, V. A., Pelekhata, O. B., Михайлець, В. А., Пелехата, Б. Б.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Інститут математики НАН України 2017
Online Zugang:https://trim.imath.kiev.ua/index.php/trim/article/view/322
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:Transactions of Institute of Mathematics of NAS of Ukraine
Завантажити файл: Pdf

Institution

Transactions of Institute of Mathematics of NAS of Ukraine
Beschreibung
Zusammenfassung:We prove that each function from $NBV[a,b]$ is a uniform limit of step functions of the same class, such that their marginal steps may degenerate into points and their variations are collectively bounded. In particular this yields linear span of Dirac $\delta$-measures to be sequentially dense in the space of Radon measures on $[a,b]$ in $w^*$-topology.

Ähnliche Einträge