Abstract
A linear inequality system with infinitely many constraints is polynomial [analytical] if its index set is a compact interval of the real line and all its coefficients are polynomial [analytical] functions of the index on this interval. This paper provides sufficient conditions for a given closed convex set to be the solution set of a certain polynomial or at least analytical system.
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The authors are indebted to Dr. J. M. Almira for valuable comments and suggestions.
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Goberna, M.A., Hernández, L. & Todorov, M.I. On Linear Inequality Systems with Smooth Coefficients. J Optim Theory Appl 124, 363–386 (2005). https://doi.org/10.1007/s10957-004-0941-1
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DOI: https://doi.org/10.1007/s10957-004-0941-1