Sentence examples for called an concave from inspiring English sources

Then is called an concave operator.

An operator is called a concave operator if is a nonempty convex subset of and if for all and all real number (2.7).

Moreover, is called a concave function if is a convex function.

Furthermore, an analytic function f ∈ U ˆ is called a concave function of order α ≥ 0 if it satisfies 1 + Re { z f ″ ( z ) f ′ ( z ) } < − α, z ∈ U ˆ. Denote this class by Σ α.

An operator (A: P^{circ}rightarrow P^{circ}) is called an α-concave operator (−α-convex operator) if A(tx geq t^{alpha}Ax bigl(A(tx leq t^{-alpha}Ax bigr),quad forall xin P^{circ}, 0< t< 1, where (0leqalpha<1).

Let be a solid cone in a real Banach space an operator, and Then is called a -concave operator if (2.1).

If the inequality is conversed, then f is called an h-concave function.

Then is called a generalized concave operator.

where denotes the th largest component in. is called a Schur concave function on if is a Schur convex function on.

If f ( x + y 2 ) ≤ f ( x ) + f ( y ) 2. holds for all x, y ∈ I, then f is called a convex (concave) function.

0-log-concave function is called a log-concave function.