Question: A differentiable functional f on an open, convex set S is convex if and only if for every x, x0 S. f is strictly convex

A differentiable functional f on an open, convex set S is convex if and only if
XO f(х) > f(х0) + Df х0] (х — хо)

for every x, x0 ˆˆ S. f is strictly convex if and only if

A differentiable functional f on an open, convex set S

for every x ‰  x0 ˆˆ S.

XO f() > f(0) + Df \0] ( )

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