A Modification of Hermite Sampling with a Gaussian Multiplier |
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| Authors: | R M Asharabi J Prestin |
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| Institution: | 1. Institute of Mathematics , University of Lübeck , Lübeck , Germany rashad1974@hotmail.com;3. Institute of Mathematics , University of Lübeck , Lübeck , Germany |
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| Abstract: | The Hermite sampling series is used to approximate bandlimited functions. In this article, we introduce two modifications of Hermite sampling with a Gaussian multiplier to approximate bandlimited and non-bandlimited functions. The convergence rate of those modifications is much higher than the convergence rate of Hermite sampling. Based on complex analysis, we establish some error bounds for approximating different classes of functions by these modifications. Theoretically and numerically, we demonstrate that the approximation by these modifications is highly efficient. |
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| Keywords: | Error bounds Gaussian convergence factor Gaussian multiplier Hermite sampling Sinc approximation |
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