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A generalization of convex functions via support properties*
Published online by Cambridge University Press: 09 April 2009
Abstract
With respect to a given family of functions F, a function is said to be F-convex, if it is supported, at each point, by some member of F. For particular choices of F one obtains the convex functions and the generalized convex functions in the sense of Beckenbach. F-convex functions are characterized and studied, retaining some essential results of classical convexity.
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- Copyright © Australian Mathematical Society 1976
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