Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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HERMITE AND HERMITE-FEJÉR INTERPOLATION OF HIGHER ORDER AND ASSOCIATED PRODUCT INTEGRATION FOR ERDÖS WEIGHTS

  • Jung, Hee-Sun (Department of Mathematics Education Sungkyunkwan University)
  • Published : 2008.01.31
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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.

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References

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Cited by

  1. On the dense divergence of the product quadrature formulas of interpolatory type vol.433, pp.2, 2016, https://doi.org/10.1016/j.jmaa.2015.08.056