Title

On Sampling Theory And Basic Sturm-Liouville Systems

Keywords

Green's function; q-Sturm-Liouville problems; Sampling theory

Abstract

We investigate the sampling theory associated with basic Sturm-Liouville eigenvalue problems. We derive two sampling theorems for integral transforms whose kernels are basic functions and the integral is of Jackson's type. The kernel in the first theorem is a solution of a basic difference equation and in the second one it is expressed in terms of basic Green's function of the basic Sturm-Liouville systems. Examples involving basic sine and cosine transforms are given. © 2006 Elsevier B.V. All rights reserved.

Publication Date

9-1-2007

Publication Title

Journal of Computational and Applied Mathematics

Volume

206

Issue

1

Number of Pages

73-85

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.cam.2006.05.024

Socpus ID

34249308846 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/34249308846

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