نتایج جستجو برای: m2 ag logarithmically convex function
تعداد نتایج: 1329223 فیلتر نتایج به سال:
In this paper, the logarithmically complete monotonicity results of the functions [Γ(1 + x)]y/Γ(1 + xy) and Γ(1 + y)[Γ(1 + x)]y/Γ(1 + xy) are established.
We prove the local Hölder continuity of strong local minimizers of the stored energy functional E(u) = ∫ Ω λ|∇u|2 + h(det∇u) dx subject to a condition of ‘positive twist’. The latter turns out to be equivalent to requiring that u maps circles to suitably star-shaped sets. The convex function h(s) grows logarithmically as s → 0+, linearly as s → +∞, and satisfies h(s) = +∞ if s ≤ 0. These proper...
In the space of n × m matrices of rank n, n ≤ m, consider the “condition metric”, obtained by multiplying the usual Frobenius Hermitian product by the inverse of the square of the smallest singular value. We prove that this last quantity is logarithmically convex along geodesics in that space. Let N be a complete submanifold of R and let R be endowed with the analogous “condition metric”, obtai...
Let R and B be two disjoint sets of red points and blue points in the plane, respectively, such that no three points of R ∪ B are collinear, and let a, b and g be positive integers. We show that if ag ≤ |R| < (a + 1)g and bg ≤ |B| < (b + 1)g, then we can subdivide the plane into g convex polygons so that every open convex polygon contains exactly a red points and b blue points and that the rema...
let $omega_x$ be a bounded, circular and strictly convex domain of a banach space $x$ and $mathcal{h}(omega_x)$ denote the space of all holomorphic functions defined on $omega_x$. the growth space $mathcal{a}^omega(omega_x)$ is the space of all $finmathcal{h}(omega_x)$ for which $$|f(x)|leqslant c omega(r_{omega_x}(x)),quad xin omega_x,$$ for some constant $c>0$, whenever $r_{omega_x}$ is the m...
Fludarabine in addition to cytosine-arabinoside (ARA-C) increases the accumulation of ARA-C-5'-triphosphate (ARA-CTP), which is responsible for the cytotoxic effect in leukemic blasts. In a randomized phase 3 trial, patients with high-risk myelodysplastic syndrome (MDS) (n = 91) or elderly patients with acute myeloid leukemia (AML) (n = 43) were randomized to receive 2 induction courses consist...
Abstract John’s fundamental theorem characterizing the largest volume ellipsoid contained in a convex body $K$ $\mathbb{R}^{d}$ has seen several generalizations and extensions. One direction, initiated by V. Milman is to replace ellipsoids positions (affine images) of another $L$. Another, more recent direction consider logarithmically concave functions on instead bodies: we designate some spec...
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