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On the superconvergence of some quadratic integro-splines at the mid-knots of a uniform partition

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  • Lang, Feng-Gong
  • Xu, Xiao-Ping

Abstract

In this paper, we illustrate some new superconvergence of four kinds of quadratic integro-splines. It is proved that these quadratic integro-splines possess superconvergence in function values approximation (fourth order convergent) and in second-order derivatives approximation (second order convergent) at the mid-knots of a uniform partition.

Suggested Citation

  • Lang, Feng-Gong & Xu, Xiao-Ping, 2018. "On the superconvergence of some quadratic integro-splines at the mid-knots of a uniform partition," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 507-514.
  • Handle: RePEc:eee:apmaco:v:338:y:2018:i:c:p:507-514
    DOI: 10.1016/j.amc.2018.06.046
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    References listed on IDEAS

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    1. Lang, Feng-Gong & Xu, Xiao-Ping, 2015. "Quintic B-spline method for integro interpolation," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 353-360.
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