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Hengartner and Schober [1] studied the analytic functions that are convex in the direction of the imaginary axis.
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In this paper we examine the class of functions that are convex in one direction.
Also, we denote by K the class of functions f ( z ) ∈ A that are convex in.
(1.2) Functions that are convex of order α were introduced by Robertson in [2].
However, obviously, there are functions that are convex but not log-convex.
Note that every function that is convex and symmetric is also Schur-convex.
We have shown that the value function is convex in the posterior belief.
Thus, a 0-convex function is nonnegative, a 1-convex function is nondecreasing, and a 2-convex function is convex in the usual sense.
If, the cost function is convex in the interval since it is the sum of convex functions (in that interval) and it has only one global minima.
If the cost function is convex in the interval since it is the sum of two convex functions (in that interval).
Suppose that is convex in.
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