Sentence examples for bounded in the graph-norm from inspiring English sources

Let a set of functions g n be bounded in the graph-norm ‖ A g ‖ + ‖ g ‖.

In some cases, duality arguments have been used to obtain error bounds in the L2-norm.

Explicit error bounds in the infinity norm are presented by using an appropriate reformulation of the successive convolutions of a vector and assuming a contraction property.

Hence, the Hessian of is bounded in the matrix -norm on any bounded subset of.

The third-order error is bounded in operator norm for dimensions one and three using a weighted operator norm on G.

The error is bounded in terms of the infinity norms of the noise and a derivative of the signal.

For x ∈ X, F ′ ( t ) x is continuous in t ∈ J, where B ( X ) is the space of all linear and bounded operators on X, and Y is the Banach space formed from D ( A ), the domain of A, endowed with the graph norm.

where is the graph norm of.

(2.5). is the graph norm of.

The two diagonal bounds in the graph are explained as follows.

(Psi (x)) and (Psi ^{-1}(x)) are bounded in norm.