Like strictly convex functions, strongly convex functions have unique minima on compact sets.
2.
Since is a strictly convex function for, it follows that equality holds when equals almost everywhere.
3.
Strongly convex functions are in general easier to work with than convex or strictly convex functions, since they are a smaller class.
4.
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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