[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2008.45.1.177

HERMITE AND HERMITE-FEJÉR INTERPOLATION OF HIGHER ORDER AND ASSOCIATED PRODUCT INTEGRATION FOR ERDÖS WEIGHTS

Jung, Hee-Sun (Department of Mathematics Education Sungkyunkwan University)

Publication Information

Journal of the Korean Mathematical Society / v.45, no.1, 2008 , pp. 177-196 More about this Journal

Abstract

Using the results on the coefficients of Hermite-Fej $\acute{e}$ r interpolations in [5], we investigate convergence of Hermite and Hermite- $Fej{\acute{e}}r$ interpolation of order m, m=1,2,... 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- $Fej{\acute{e}}r$ interpolations; product integration rules $Erd{\H{o}}s$ weights;

Citations & Related Records

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Reference

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