Abstract
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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Communicated by Cassio Oishi.
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This work was supported by the Natural Science Foundation of Zhejiang Province (Grant No. LY19A010003) and the National Natural Science Foundation of China (Grant No. 11671068).
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Wu, J., Ge, W. & Zhang, X. Integro spline quasi-interpolants and their super convergence. Comp. Appl. Math. 39, 239 (2020). https://doi.org/10.1007/s40314-020-01286-5
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DOI: https://doi.org/10.1007/s40314-020-01286-5