Polynomial data fitting that guarantees convexity

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Dave Lee 2019-12-20

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https://ww2.mathworks.cn/matlabcentral/answers/497491-polynomial-data-fitting-that-guarantees-convexity

编辑： Dave Lee 2019-12-20

Hi there,

I have a dataset with N number of data points [x1, x2, ...., xN], [y1, y2, ..., yN]. I can use polyfit by providing the order of polynomial. But it doesn't guarantee that the polynomial is convex. Is there any way that I can find the best fitting polynomial but still guarantees convexity? Also, if I want to add constraint such as the polynomial passes through a specific data points or a number of specific points (still guarantees convexity), what would be the way?

Thanks,