Transformations which preserve convexity

Robert A. Fontenot and Frank Proschan

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-7

Abstract:

Let C be the class of convex nondecreasing functions f : [ 0 , ∞ ) → [ 0 , ∞ ) which satisfy f ( 0 ) = 0 . Marshall and Proschan [1] determine the one-to-one and onto functions ψ : [ 0 , ∞ ) → [ 0 , ∞ ) such that g = ψ ∘ f ∘ ψ − 1 belongs to C whenever f belongs to C . We study several natural models for multivariate extension of the Marshall-Proschan result. We show that these result in essentially a restatement of the original Marshall-Proschan characterization.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:943105

DOI: 10.1155/S0161171285000047

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