Global error bounds for piecewise convex polynomials

نویسنده

  • Guoyin Li
چکیده

In this paper, by examining the recession properties of convex polynomials, we provide a necessary and sufficient condition for a piecewise convex polynomial to have a Hölder-type global error bound with an explicit Hölder exponent. Our result extends the corresponding results of [25] from piecewise convex quadratic functions to piecewise convex polynomials.

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عنوان ژورنال:
  • Math. Program.

دوره 137  شماره 

صفحات  -

تاریخ انتشار 2013