Like strictly convex functions, strongly convex functions have unique minima on compact sets.
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Since is a strictly convex function for, it follows that equality holds when equals almost everywhere.
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Strongly convex functions are in general easier to work with than convex or strictly convex functions, since they are a smaller class.
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If & thinsp; is a strictly convex function, then the inequality ( ) holds with equality if and only if, after relabeling according to ( ), we have " y i " } } for all }.
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