Abstract
In this note we give an elementary proof that an arbitrary convex function can be uniformly approximated by a convex \cinf-function on any closed bounded subinterval of the domain. An interesting byproduct of our proof is a global equation for a polygonal (piecewise affine) function.
Citation
J. J. Koliha. "Approximation of convex functions.." Real Anal. Exchange 29 (1) 465 - 472, 2003-2004.
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