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Show that f(x, y, z) = xz + y is convex with respect to (y, z) (pointwise convex) but that equality can hold in f(x,

Show that f(x, y, z) = xz + y is convex with respect to (y, z) (pointwise convex) but that equality can hold in f(x, y + v, z + w) f(x, y, z) fy(x, y, z)v fz(x, y, z)w = 0

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