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Semicontinuity and Quasiconvex Functions
Authors:R N Mukherjee  L V Reddy
Institution:(1) Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India;(2) Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India
Abstract:Criteria are derived for quasiconvex functions under lower semicontinuity and upper semicontinuity conditions. The results thus obtained generalize earlier results for convex functions. We also give new conditions under which a given function is r-convex in the sense given by Avriel.
Keywords:Lower semicontinuity  upper semicontinuity  quasiconvexity  r-convexity
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