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Construction of a family of \(C^1\) convex integro cubic splines

By Tugal Zhanlav and Renchin-Ochir Mijiddorj
We construct a family of monotone and convex \(C^1\) integro cubic splines under a strictly convex position of the dataset. Then, we find an optimal spline by considering its approximation properties. Finally, we give some examples to illustrate the convex-preserving properties of these splines.
March 12, 2020
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Construction of a family of $C^1$ convex integro cubic splines
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