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Convex or concave sequences of $n$ positive terms, viewed as vectors in$n$-space, constitute convex cones with $2n-2$ and $n$ extreme rays,respectively. Explicit description is given of vectors spanning these extremerays, as well as of non-singular linear transformations between the positiveorthant and the simplicial cones formed by the positive concave vectors. Thesimplicial cones of monotone convex and concave vectors can be describedsimilarly.

On the polyhedral cones of convex and concave vectors