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On convex triangle functions

open access: yesAequationes Mathematicae, 1983
The author considers the class \(\Delta^+\) of probability distribution functions on the real line, which are left continuous and vanish at the origin. If \(\epsilon_ a\in \Delta^+\) has the single point a of discontinuity, \(a\geq 0\), and if the function \(\tau: \Delta^+\times \Delta^+\to \Delta^+\) has the properties \((i)\quad \tau (F,\epsilon_ 0 ...
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On Convex Functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1935
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