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We derive estimates for the truncation, amplitude and jitter type errors associated with Hermite-type interpolations at equidistant nodes of functions in Paley-Wiener spaces. We give pointwise and uniform estimates. Some examples and comparisons which indicate that applying Hermite interpolations would improve the methods that use the classical sampling theorem are given.
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참고문헌 (30)
참고문헌 신청
A. Boumenir / 1996 / Eigenvalues of S-L systems using sampling theory / Appl. Anal. 62 (3) : 323 ~ 334
D. Jagerman / 1956 / Some general aspects of the sampling theorem / IRE Trans. Inform. Theory 2 : 139 ~ 146
D. Jagerman / 1966 / Bounds for truncation error of the sampling expansion / SIAM J. Appl. Math. 14 : 714 ~ 723
F. Stenger / 1981 / Numerical methods based on Whittaker cardinal, or sinc functions / SIAM Rev. 23 (2) : 165 ~ 224
F. Stenger / 1993 / Numerical Methods Based on Si
D. Jagerman / 1956 / Some general aspects of the sampling theorem / IRE Trans. Inform. Theory 2 : 139 ~ 146
D. Jagerman / 1966 / Bounds for truncation error of the sampling expansion / SIAM J. Appl. Math. 14 : 714 ~ 723
F. Stenger / 1981 / Numerical methods based on Whittaker cardinal, or sinc functions / SIAM Rev. 23 (2) : 165 ~ 224
F. Stenger / 1993 / Numerical Methods Based on Si
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