Sentence examples similar to be an sublinear functional from inspiring English sources

Let F be a sublinear functional.

Let be a sublinear functional with respect to the third variable.

Let F : S × S × R n ↦ R be a sublinear functional with respect to the third variable.

Throughout the paper, we assume that ℱ is a sublinear functional.

Where, F: X × X × R n → R is a sublinear functional, α: X × X → R+ {0}, ρ ∈ R and d: X × X → R. Let Φ: X → R and h: X × R n → R be differentiable real valued functions.

But considering the same C, f is not higher-order ((F,alpha,gamma,rho,d -convex because C is not a sublinear functional with respect to the third variable.

This is possible since is a sublinear function.

Hirano et al. [5] proved a Hahn-Banach theorem in which a concave functional is dominated by a sublinear functional in a nonempty convex set.

Suppose that (acolon Xtomathbb {R}) is an additive function, (pcolon Xtomathbb{R}) a sublinear functional such that (a(x leq p(x)), (xin X).

Let T be a sublinear operator.

Let be a sublinear operator, and let be a real linear proper subspace of.