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mikkola
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Basis functions for approximation of a convex function on unit simplex
@user71040 We can assume the function to be bounded. I have added clarifications to the main question based on the comments above.
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Basis functions for approximation of a convex function on unit simplex
incorporated clarifications from the comments to the question
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Basis functions for approximation of a convex function on unit simplex
Correct. To give some more background, I'm interested in uncertainty functions which are non-negative concave functions on the simplex (c.f. DeGroot: Optimal statistical decisions). I thought Shannon entropy might be an example familiar to most people.
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