Sampling theorems for Jackson-Nörlund transforms associated with Hahn-difference operators
type: Item
instance of: scholarly article
title: Sampling theorems for Jackson-Nörlund transforms associated with Hahn-difference operators
zbMATH Open document ID: 1441.94061
author: Xianqiang Yang
published in: Journal of Mathematical Analysis and Applications
publication date: 2018-05-09T00:00:00Z
review text: A \(q,\omega\)-Hahn Sturm-Liouville theory is established in the work [\textit{M. H. Annaby} et al., Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 35--83 (2018; Zbl 1415.39014)]. In this paper, the authors derive sampling theorems for the same \(q,\omega\)-Sturm-Liouville problem. The \(q,\omega\)-Hahn difference operator approximates the classical derivative as \(q\rightarrow 1^{-}\) and \(\omega \rightarrow 0^{+}\). Therefore, the authors give a few numerical examples for the sampling representation, indicating that this approximation.
reviewed by: Fatma Hıra
Mathematics Subject Classification ID: 94A20
zbMATH DE Number: 6867359
zbMATH Keywords: Hahn difference operator
zbMATH Keywords: Jackson-Nörlund transform
zbMATH Keywords: sampling theory
MaRDI profile type: Publication
full work available at URL: j.jmaa.2018.04.016
OpenAlex ID: W2796493164
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DOI: 10.1016/J.JMAA.2018.04.016
description: scientific article; zbMATH DE number 6867359