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Iosif Pinelis
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convergence of the infima of convex functions

Can one give a reference to a result like this: If a sequence of convex functions f_n on R converges pointwise to a non-monotonic function f, then inf_R f_n converges to inf_R f? Thank you.

Iosif Pinelis
  • 127.9k
  • 8
  • 107
  • 229