A characterization of polynomial functions by means of Dinghas interval derivatives
type: Item
instance of: scholarly article
title: A characterization of polynomial functions by means of Dinghas interval derivatives
zbMATH Open document ID: 0840.39010
DOI: 10.1007/BF03323063
author: A. Simon
author: Peter Volkmann
published in: Results in Mathematics
publication date: 1996-03-12T00:00:00Z
review text: The authors offer a proof that the identical disappearence of the \(n\)-th difference with variable single span and of the \(n\)-th Dinghas derivative [cf. \textit{A. Dinghas}, Ann. Acad. Sci., Fenn., Ser. A I 375 (1966; Zbl 0143.30602)] on a proper interval are equivalent.
Mathematics Subject Classification ID: 39B22
Mathematics Subject Classification ID: 26A24
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 30C10
zbMATH DE Number: 785185
zbMATH Keywords: characterization of polynomial functions
zbMATH Keywords: Dinghas interval derivatives
zbMATH Keywords: differences with variable span
zbMATH Keywords: Dinghas derivatives of higher order
reviewed by: János Aczél
MaRDI profile type: Publication
cites work: Q5519280
description: scientific article; zbMATH DE number 785185