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

Title & Authors
HERMITE AND HERMITE-FEJÉR INTERPOLATION OF HIGHER ORDER AND ASSOCIATED PRODUCT INTEGRATION FOR ERDÖS WEIGHTS
Jung, Hee-Sun;

Abstract
Using the results on the coefficients of Hermite-Fej$\small{\acute{e}}$r interpolations in [5], we investigate convergence of Hermite and Hermite-$\small{Fej{\acute{e}}r}$ interpolation of order m, m=1,2,... in $\small{L_p(0}$<$\small{p}$<$\small{{\infty})}$ and associated product quadrature rules for a class of fast decaying even $\small{Erd{\H{o}}s}$ weights on the real line.
Keywords
Hermite and Hermite-$\small{Fej{\acute{e}}r}$ interpolations;product integration rules$\small{Erd{\H{o}}s}$ weights;
Language
English
Cited by
1.
On the dense divergence of the product quadrature formulas of interpolatory type, Journal of Mathematical Analysis and Applications, 2016, 433, 2, 1409
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