The problem of minimization of a smoothing functional under inequality constraints is considered in a hyperplane. The conditions of the existence of a solution are obtained and some properties of this solution are investigated. It is proved that the solution is a spline. The method for its construction is suggested.
Asmuss, S. (2008). Splines in convex sets under constraints of two‐sided inequality type in a hyperplane. Mathematical Modelling and Analysis, 13(4), 461-470. https://doi.org/10.3846/1392-6292.2008.13.461-470
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