Sentence examples for be a nonnegative concave from inspiring English sources

Let f be a nonnegative concave function on ([ {a,b} ]).

where f(x) ([-a, a], a > 0), is a nonnegative concave and even function.

Since and is a nonnegative concave function on, we conclude that.

We replace the volume measure Vol n ( K ) by a Schur-concave function of the form F n ( x 1, …, x n ) = f ( x 1 ) + ⋯ + f ( x n ), where f is a nonnegative concave function.

Let be given and let be a nonnegative continuous concave functional on.

Let and be nonnegative continuous convex functionals on the cone, be a nonnegative continuous concave functional on.

A map is said to be a nonnegative continuous concave functional on if is a continuous and (1.3).

Let be a completely continuous operator and let be a nonnegative continuous concave functional on such that for all.

The map is said to be a nonnegative continuous concave functional on provided that is continuous and (2.1).

Let be a nonnegative continuous concave function on, not identically zero, and let be a convex function on, where (1.5).

The map is said to be a nonnegative continuous concave (convex) functional on provided that is continuous and (2.1).