Uniformly convex function

In this investigation our main aim is to determine the radii of uniform convexity of selected normalized q -Bessel and Wright functions. Here we consider six different normalized forms of q -Bessel functions and we apply three different kinds of the normalization of the Wright function.

15p nutifooddau 21-01-2019 18 1   Download

In this paper an algorithm for minimization of a nondifferentiable function is presented. The algorithm uses the Moreau-Yosida regularization of the objective function and its second order Dini upper directional derivative. The purpose of the paper is to establish general hypotheses for this algorithm, under which convergence occurs to optimal points. A convergence proof is given, as well as an estimate of the rate of the convergence.

13p vinguyentuongdanh 19-12-2018 27 0   Download

In this paper an algorithm for LC1 unconstrained optimization problems, which uses the second order Dini upper directional derivative is considered. The purpose of the paper is to establish general algorithm hypotheses under which convergence occurs to optimal points. A convergence proof is given, as well as an estimate of the rate of convergence.

6p vinguyentuongdanh 20-12-2018 25 1   Download

(bq) part 1 book "functional analysis, sobolev spaces and partial differential equations" has contents: the hahn–banach theorems - introduction to the theory of conjugate convex functions; the uniform boundedness principle and the closed graph theorem; compact operators - spectral decomposition of self adjoint compact operators,...and other contents.

215p bautroibinhyen20 06-03-2017 62 7   Download

We find a sharp combinatorial bound for the metric entropy of sets in Rn and general classes of functions. This solves two basic combinatorial conjectures on the empirical processes. 1. A class of functions satisfies the uniform Central Limit Theorem if the square root of its combinatorial dimension is integrable. 2. The uniform entropy is equivalent to the combinatorial dimension under minimal regularity. Our method also constructs a nicely bounded coordinate section of a symmetric convex body in Rn . ...

47p noel_noel 17-01-2013 55 9   Download

Annals of Mathematics By S. Artstein, V. Milman, and S. J. Szarek For two convex bodies K and T in Rn , the covering number of K by T , denoted N (K, T ), is defined as the minimal number of translates of T needed to cover K. Let us denote by K ◦ the polar body of K and by D the euclidean unit ball in Rn . We prove that the two functions of t, N (K, tD) and N (D, tK ◦ ), are equivalent in the appropriate sense, uniformly over symmetric convex bodies K ⊂...

17p tuanloccuoi 04-01-2013 54 5   Download

báo cáo này, chúng ta xem xét một lớp học của các chức năng starlike thống nhất được định nghĩa bởi nhà điều hành tách rời nhất định. Chúng tôi xác định một điều kiện đủ cho một hàm f được thống nhất starlike chức năng đó cũng là cần thiết khi e có hệ số tiêu cực.

16p phalinh21 01-09-2011 48 2   Download