Results 231 to 240 of about 496,441 (252)

A heterogeneous continuous age-structured model of mumps with vaccine. [PDF]

Infect Dis Model
Azimaqin N, Li Y, Liu X.
europepmc   +1 more source

Qualitative robustness of utility-based risk measures. [PDF]

Ann Oper Res
Koch-Medina P, Munari C.
europepmc   +1 more source

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On nearly uniformly convex Banach spaces

Mathematical Proceedings of the Cambridge Philosophical Society, 1983
A real Banach space (X, ‖ · ‖) is said to be uniformly convex (UC) (or uniformly rotund) if for all ∈ > 0 there is a δ > 0 such that if ‖x| ≤ 1, ‖y‖ ≤ 1 and ‖x−y‖ ≥ ∈, then ‖(x + y)/2‖ ≤ 1− δ.
J. Partington
semanticscholar   +3 more sources

On embedding trees into uniformly convex Banach spaces

Israel Journal of Mathematics, 1999
We investigate the minimum value ofD =D(n) such that anyn-point tree metric space (T, ρ) can beD-embedded into a given Banach space (X, ∥·∥); that is, there exists a mappingf :T →X with 1/D ρ(x,y) ≤ ∥f(x) −f(y)∥ ≤ρ(x,y) for anyx,y eT. Bourgain showed thatD(n) grows to infinity for any superreflexiveX (and this characterized super-reflexivity), and forX
J. Matoušek
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Uniformly smooth renormings of uniformly convex Banach spaces

Journal of Soviet Mathematics, 1985
In this note we study the quantitative side of the famous Enflo-Pisier theorem on the possibility of equivalent uniformly smooth renormings of superreflexive Banach spaces (in particular, uniformly convex and uniformly nonsquare ones). Typical re result: let the modulus of convexity of the space X, which has a locally unconditional structure, satisfy ...
S. Rakov
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Uniformly convex Banach spaces are reflexive—constructively [PDF]

Mathematical Logic Quarterly, 2013
We propose a natural definition of what it means in a constructive context for a Banach space to be reflexive, and then prove a constructive counterpart of the Milman‐Pettis theorem that uniformly convex Banach spaces are reflexive.
Douglas S. Bridges, Hajime Ishihara, Maarten McKubre-Jordens   +2 more
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Directional Differentiability of the Metric Projection Operator in Uniformly Convex and Uniformly Smooth Banach Spaces

Journal of Optimization Theory and Applications, 2023
Let X be a real uniformly convex and uniformly smooth Banach space and C a nonempty closed and convex subset of X. Let Pc from X to C denote the (standard) metric projection operator.
Jinlu Li
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BASES IN UNIFORMLY CONVEX AND UNIFORMLY FLATTENED BANACH SPACES

Mathematics of the USSR-Izvestiya, 1971
The aim of this article is to obtain two-sided estimates for the norm of an element x in a uniformly convex and uniformly flattened Banach space E in terms of lp-norms of the sequence of coefficients which occur in the expansion of x in a basis .
V I Gurariĭ, N I Gurariĭ
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