On sampling theory and basic Sturm-Liouville systems
Abbreviated Journal Title
J. Comput. Appl. Math.
q-Sturm-Liouville problems; Green's function; sampling theory; LAGRANGE INTERPOLATION; Mathematics, Applied
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 of Computational and Applied Mathematics
"On sampling theory and basic Sturm-Liouville systems" (2007). Faculty Bibliography 2000s. 6837.