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J. Korean Math. Soc. 2008; 45(1): 177-196

Printed January 1, 2008

Copyright © The Korean Mathematical Society.

Hermite and Hermite-Fejer interpolation of higher order and associated product integration for ErdHos weights

Hee-Sun Jung

Sungkyunkwan University

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Using the results on the coefficients of Hermite-Fej\'er interpolations in [5], we investigate convergence of Hermite and Hermite-Fej\'er interpolation of order $m$, $m=1,2,\ldots$ in $L_p(0 < p <\infty)$ and associated product quadrature rules for a class of fast decaying even Erd\H{o}s weights on the real line.

Keywords: Hermite and Hermite-Fejer interpolations, product integration rules, ErdHos weights

MSC numbers: 41A10, 42C05, 65D05

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