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Let f be a real valued function defined on some interval I. Assuming that f both convex and concave on I, i.e, for any x,

Let f be a real valued function defined on some interval I. Assuming that f both convex and concave on I, i.e, for any x, y belong to I, and lamda belong to [0; 1] one hasf( lamda*x + (1- lamda

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