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http://dx.doi.org/10.14317/jami.2016.207

EXPONENTIALLY FITTED INTERPOLATION FORMULAS DEPENDING ON TWO FREQUENCIES  

KIM, KYUNG JOONG (Department of General Studies, School of Liberal Arts and Sciences, Korea Aerospace University)
Publication Information
Journal of applied mathematics & informatics / v.34, no.3_4, 2016 , pp. 207-220 More about this Journal
Abstract
Our goal is to construct a two-frequency-dependent formula $I_N$ which interpolates a product f of two functions with different frequencies at some N points. In the beginning, it is not clear to us that the formula $I_N$ satisfies $I_N=f$ at the points. However, it is later shown that $I_N$ satisfies the above equation. For this theoretical development, a one-frequency-dependent formula is introduced, and some of its characteristics are explained. Finally, our newly constructed formula $I_N$ is compared to the classical Lagrange interpolating polynomial and the one-frequency-dependent formula in order to show the advantage that is obtained by generating the formula depending on two frequencies.
Keywords
Interpolation; exponentially fitted;
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Times Cited By KSCI : 1  (Citation Analysis)
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