New Representation Formula for Convex Functions on Separable Normed Spaces

A. Seeger
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A. Seeger: University of Avignon

Journal of Optimization Theory and Applications, 1997, vol. 93, issue 3, No 13, 639-643

Abstract: Abstract We derive a new representation formula for lower-semicontinuous convex functions on separable normed spaces. As a consequence of this formula, we obtain a C ∞-approximation method for convex functions which are not necessarily differentiable.

Keywords: Convex functions; smooth approximations (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1023/A:1022655432459

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