A function is completely convex in an open interval if it has derivatives of all orders there and if
for , 1, 2, ... in that interval (Widder 1941, p. 177). For example, the functions and are completely convex in the intervals and respectively.
A function is completely convex in an open interval if it has derivatives of all orders there and if
for , 1, 2, ... in that interval (Widder 1941, p. 177). For example, the functions and are completely convex in the intervals and respectively.
This entry contributed by Ronald M. Aarts
Aarts, Ronald M. "Complete Convex Function." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/CompleteConvexFunction.html