On sampling theory and basic Sturm-Liouville systems

    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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