Well Behaved Asymptotical Convex Functions

  • J.P. Crouzeix

    Département de Mathématiques Appliquées, Université Blaise Pascal, B.P.45, 63170 Aubière, France
  • A.A. Auslender

    Département de Mathématiques Appliquées, Université Blaise Pascal, B.P.45, 63170 Aubière, France

Abstract

In this paper, we introduce the class of proper closed convex functions for which satisfy the following property.

“For all sequences , such that and we have

Characterizations and applications are then given.

Cite this article

J.P. Crouzeix, A.A. Auslender, Well Behaved Asymptotical Convex Functions. Ann. Inst. H. Poincaré Anal. Non Linéaire 6 (1989), pp. 101–121

DOI 10.1016/S0294-1449(17)30017-3