In this paper functions f:(a,b)→R are considered with the property that for all n>2 and all x1,x2,...,xn∈(a,b)
is convex in k. Functions with this property are called sequentially convex. It is proved that if f is convex, twice differentiable, and f″ is convex then f is sequentially convex. In case f is a continous function defined on the whole ofR these conditions are necessary too.
Keywords
Number Theory Algebraic Geometry Topological Group Continous Function
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