ERROR ANALYSIS ASSOCIATED WITH UNIFORM HERMITE INTERPOLATIONS OF BANDLIMITED FUNCTIONS

被引:17
作者
Annaby, Mahmoud H. [1 ]
Asharabi, Rashad M. [2 ]
机构
[1] Qatar Univ, Dept Math Stat & Phys, Doha, Qatar
[2] Sanaa Univ, Fac Sci, Dept Math, Sanaa, Yemen
关键词
Hermite interpolations; derivative sampling theorem; truncation; amplitude and jitter errors; TRUNCATION ERROR; SAMPLING EXPANSIONS; COMPUTING EIGENVALUES; BOUNDS;
D O I
10.4134/JKMS.2010.47.6.1299
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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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页码:1299 / 1316
页数:18
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