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Volume 4, Issue 2, Article 32 |
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Some Convergence Results on Sinc Interpolation
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Authors: |
Mohamad S. Sababheh, Abdul-Majid Nusayr, Kamel Al-Khaled, |
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Keywords:
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Interpolation, Rate of Convergence, Sinc Approximation. |
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Date Received:
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26/02/03 |
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Date Accepted:
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08/05/03 |
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Subject Codes: |
41A05; 41A10; 41A65.
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Editors: |
Terry M. Mills, |
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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 . 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.
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