DOI QR코드

DOI QR Code

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

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

초록

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.

키워드

참고문헌

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  5. H. S. Jung, On coefficients of Hermite-Fejer interpolations, Arch. Inequal. Appl. 1 (2003), no. 1, 91-109
  6. A. L. Levin, D. S. Lubinsky, and T. Z. Mthembu, Christoffel functions and orthogonal polynomials for Erdos weights on ($-{\infty},{\infty}$), Rend. Mat. Appl. 14 (1994), no. 7, 199-289
  7. D. S. Lubinsky, The weighted $L_{p}$-norms of orthogonal polynomials for Erdos weights, Comput. Math. Appl. 33 (1997), 151-163 https://doi.org/10.1016/S0898-1221(96)00227-1
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피인용 문헌

  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