Interpolation formulas for entire functions of exponential type and some applications
type: Item
instance of: scholarly article
title: Interpolation formulas for entire functions of exponential type and some applications
zbMATH Open document ID: 0653.30020
DOI: 10.1016/0022-247X(88)90146-1
author: Rainer Brück
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: Let f be an entire function of exponential type at most \(m\pi\), with \(f(x)=o(| x|)\); or of type less than \(m\pi\). If f and its first m-1 derivatives are bounded at the integers, the author constructs an interpolation formula for f, and gives applications analogous to those that are familiar in the case \(m=1\).
Mathematics Subject Classification ID: 30D15
Mathematics Subject Classification ID: 30E05
Mathematics Subject Classification ID: 30D10
zbMATH DE Number: 4065377
zbMATH Keywords: entire function of exponential type
MaRDI profile type: Publication
cites work: Q5833361
cites work: Q3345038
cites work: Q5793497
cites work: On Analytic Functions Bounded at the Lattice Points
cites work: Q5589310
full work available at URL: 0022-247x(88)90146-1
OpenAlex ID: W1971295374
description: scientific article; zbMATH DE number 4065377