논문KCI 등재
Generalized Hermite Interpolation and Sampling Theorem Involving Derivatives
대한수학회 (The Korean Mathematical Society)|2002.10|대한수학회논문집 (Communications of the KMS)|제17권 제4호|pp. 731-740
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Abstract
We derive the generalized Hermite interpolation by using the contour integral and extend the generalized Hermite interpolation to obtain the sampling expansion involving derivatives for band-limited functions $f$, that is, $f$ is an entire function satisfying the following growth condition $$ |f(z)|\le A \, \exp(\sigma |y|) \,\, \text{for some }A, \, \sigma>0 \, \, \text{and any } z=x+iy \in \Bbb C. $$
관련 논문AI추천
ERROR ANALYSIS ASSOCIATED WITH UNIFORM HERMITE INTERPOLATIONS OF BANDLIMITED FUNCTIONSMahmoud H. Annaby, Rashad M. Asharabi대한수학회 · 대한수학회지2010 · 제47권 제6호SAMPLING EXPANSIONS OF BANDLIMITED FUNCTIONS WITH ALTERNATE DERIVATIVE SAMPLING VALUES김윤식, 신창언장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호Sampling expansion of bandlimited functions of polynomial growth on the real line신창언대한수학회 · 대한수학회논문집2014 · 제29권 제2호Perturbation of nonharmonic Fourier series and nonuniform sampling theorem박희철, 신창언대한수학회 · 대한수학회보2007 · 제44권 제2호Convergence of the C^{1} Lagrange Polynomial Spline InterpolationBYEONG CHUN SHIN, SANG DONG KIM, SANG HUN LEE경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호High-degree interpolation rules generated by a linear functional김경중대한수학회 · 대한수학회논문집2007 · 제22권 제3호
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