Some Convergence Results on Sinc Interpolation

Volume 4, Issue 2, 2003

Article 32

SOME CONVERGENCE RESULTS ON SINC INTERPOLATION

MOHAMAD S. SABABHEH1, ABDUL-MAJID NUSAYR1 AND KAMEL AL-KHALED1,2

¹DEPARTMENT OF MATHEMATICS AND STATISTICS
JORDAN UNIVERSITY OF SCIENCE AND TECHNOLOGY
IRBID 22110, JORDAN.
E-Mail: nusayr@just.edu.jo

²DEPARTMENT OF MATHEMATICS,
UNITED ARAB EMIRATES UNIVERSITY
AL-AIN, P.O. BOX 17551, U.A.E
E-Mail: kamel.alkhaled@uaeu.ac.ae

Received 26 February, 2003; Accepted 08 May, 2003.
Communicated by: T.M. Mills

ABSTRACT. This paper is devoted to the investigation of sinc interpolation properties corresponding to a sequence of functions having the sinc function as a basis, the interpolation is taken over the dyadic partition of the interval [0,2p]. In particular, a new class of functions for which the interpolation converge is introduced. The convergence of our interpolation processes is studied and answered in quite a comprehensive way. In fact, the paper aims to provide a guideline towards a large number of problems of interest in applied sciences.

Key words:
Interpolation, Rate of Convergence, Sinc Approximation.

2000 Mathematics Subject Classification:
Interpolation, Rate of Convergence, Sinc Approximation.

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