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math.CA2026
High-level convexity for products of squared Euclidean distance functions
Tudor Micu, Cornel Pintea, George C. Å¢urcaÅ
We study smooth functions on Euclidean space whose Hessian is positive definite outside a bounded set, with emphasis on products of squared distance functions. More precisely, we f…
math.CA2026
Convex and quasiconvex truncations of nonconvex functions
Cornel Pintea
We consider nonconvex real valued functions whose truncations are either quasiconvex or even convex starting with a certain level. Among them, the -smooth functions whose leve…