Title

On sampling theory and basic Sturm-Liouville systems

Authors

Authors

M. H. Annaby; J. Bustoz;M. E. H. Ismail

Comments

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Abbreviated Journal Title

J. Comput. Appl. Math.

Keywords

q-Sturm-Liouville problems; Green's function; sampling theory; LAGRANGE INTERPOLATION; Mathematics, Applied

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. (c) 2006 Elsevier B.V. All rights reserved.

Journal Title

Journal of Computational and Applied Mathematics

Volume

206

Issue/Number

1

Publication Date

1-1-2007

Document Type

Article

Language

English

First Page

73

Last Page

85

WOS Identifier

WOS:000247706500005

ISSN

0377-0427

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