Integro spline quasi-interpolants and their super convergence

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作者
Jinming Wu
Wurong Ge
Xiaolei Zhang
机构
[1] Zhejiang Gongshang University,School of Statistics and Mathematics
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Spline quasi-interpolants; Integral values; Super convergence;
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摘要
This paper gives a type of new spline quasi-interpolants where the entry values are integral values of successive intervals, rather than the usual function values at the knots. They are called integro spline quasi-interpolants. Also, their super convergence property in approximating function values/derivative values at the knots/mid-knots are proved. Numerical experiments show that the integro spline quasi-interpolants possess super convergence.
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