نتایج جستجو برای: uniformly convex function

تعداد نتایج: 1277050  

2008
Ji Gao

Let X be a normed linear space, and let S(X) = fx 2 X : kxk = 1g be the unit sphere of X. Brodskii and Milman 1] introduced the following geometric concept: Deenition 1. A bounded, convex subset K of a Banach space X is said to have normal structure if every convex subset H of K that contains more than one point contains a point x 0 2 H, such that supfkx 0 ? yk : y 2 Hg < d(H); where d(H) = sup...

2004
V. BERINDE

A convergence theorem of Rhoades [18] regarding the approximation of fixed points of some quasi contractive operators in uniformly convex Banach spaces using the Ishikawa iterative procedure, is extended to arbitrary Banach spaces. The conditions on the parameters {αn} that define the Ishikawa iteration are also weakened.

2008
Emanuel Milman Sasha Sodin

We prove an isoperimetric inequality for uniformly log-concave measures and for the uniform measure on a uniformly convex body. These inequalities imply the log-Sobolev inequalities proved by Bobkov and Ledoux [12] and Bobkov and Zegarlinski [13]. We also recover a concentration inequality for uniformly convex bodies, similar to that proved by Gromov and Milman [22].

2014
Pongrus Phuangphoo Yongfu Su

and Applied Analysis 3 problems for two countable families of quasi-φ-nonexpansive mappings and the common solution of variational inequality problems for a finite family of monotone mappings in a uniformly smooth and strictly convex real Banach space. Then, we prove a strong convergence theorem of the iterative procedure generated by the conditions. The results obtained in this paper extend an...

2014
SHIBING CHEN ALESSIO FIGALLI

We develop an ε-regularity theory at the boundary for a general class of MongeAmpère type equations arising in optimal transportation. As a corollary we deduce that optimal transport maps between Hölder densities supported on C uniformly convex domains are C up to the boundary, provided that the cost function is a sufficient small perturbation of the quadratic cost −x · y.

Journal: :Proceedings of the American Mathematical Society 1979

Journal: :iranian journal of science and technology (sciences) 2009
a. ebadian

the aim of this paper is to prove some inequalities for p-valent meromorphic functions in thepunctured unit disk δ* and find important corollaries.

Journal: :Comp. Opt. and Appl. 2001
P. Spellucci

Quasi-Newton methods are generally held to be the most efficient minimization methods for small to medium sized problems. From these the symmetric rank one update of Broyden [4] has been disregarded for a long time because of its potential failure. The work of Conn, Gould and Toint [6], Kelley and Sachs [13] and Khalfan, Byrd and Schnabel [14], [15] has renewed the interest in this method. Howe...

2009
Y. Chen

This paper discussed the characterizations of uniformly convexity of N -functions. Definition 1. A function M(u): R → R is called an N -function if it has the following properties: (1) M is even, continuous, convex; (2) M(0) = 0 and M(u) > 0 for all u = 0; (3) lim u→0 M(u) u = 0 and lim u→+∞ M(u) u = +∞. The N -function generates the Orlicz spaces. So it is important to analysis it. It is well-...

2009
FLORIN RÀDULESCU B. E. Johnson

The cohomology of operator algebras introduced by B. E. Johnson, R. V. Kadison, and J. R. Ringrose in a series of three papers is a useful tool for obtaining new invariants for operator algebras or to prove stability results by the vanishing of their cohomology groups (see [14]). If X is a von Neumann algebra and a Banach bimodule over M, and if « is a positive integer, then the nth cohomology ...

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