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Hadamard-type Inequalities for Quasiconvex Functions
Quasiconvex function Hadamard inequality
2008/7/1
Recently Hadamard-type inequalities for nonnegative, evenly quasiconvex functions which attain their minimum have been established. We show that these inequalities remain valid for the larger class co...
Sharp Bounds on Quasiconvex Moments of Generalized Order Statistics
Generalized Order Statistics Quasiconvex Moments Moriguti Inequality Steffensen Inequality
2008/6/26
Sharp lower and upper bounds for quasiconvex moments of generalized order statistics are proven by the use of rearranged Moriguti's inequality. Even in the second moment case, the method yields improv...
Connectedness of Cone-Efficient Solution Set for Cone-Quasiconvex Multiobjective Programming
Multiobjective programming cone-efficient solution cone-quasiconvex mapping generalized saddle theorem connectedness
2007/12/11
This paper deals with the connectedness of thecone-efficient solution set for vector optimization in locallyconvex Hausdorff topological vector spaces.The connectedness of thecone-efficient solution s...
A Class of Cone Bounded Quasiconvex Mappings in Topological Vector Spaces
cone convexity cone quasiconvexity
2007/12/10
Within the context of cone-ordered topological vector spaces, this paper introduces the concepts of cone bounded point and cone bounded set for vector set. With their aid, a class of new cone quasicon...