共查询到20条相似文献,搜索用时 15 毫秒
1.
We evaluate some determinants related to Brioschi’s extension of the classical double alternant of Cauchy, and Scott’s extension of Brioschi’s. 相似文献
2.
We proved some inequalities for concave functions. Those inequalities complemented a theorem obtained by Lee. Finally, we partially solved an open problem proposed by Zhang P. 相似文献
3.
4.
G. A. Philippin A. Safoui 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2003,53(3):739-755
The authors derive best possible maximum principles for
some combinations of solutions of a class of fully nonlinear
elliptic PDEs and their gradients. These maximum principles are
then applied to establish various inequalities of interest in the
theory of Weingarten surfaces. 相似文献
5.
G. A. Philippin A. Safoui 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2003,54(5):739-755
The authors derive best possible maximum principles for
some combinations of solutions of a class of fully nonlinear
elliptic PDEs and their gradients. These maximum principles are
then applied to establish various inequalities of interest in the
theory of Weingarten surfaces. 相似文献
6.
John L. Bell 《Archive for Mathematical Logic》2003,42(8):811-814
Two new intuitionistic equivalents to Zarns Lemma are stated and proved. 相似文献
7.
M. Mursaleen 《PAMM》2007,7(1):2030061-2030062
In this paper we study some geometric properties of the sequence spaces n (ϕ) such as Banach-Saks property, fixed point property and Schur property. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
8.
The Ramsey theorem says that for any countably infinite undirected clique whose edges are colored by a finite number of colors, there is an infinite subclique whose edges are colored by a single color. In this note, we generalize the theorem to a situation where the colors form a compact metric space. 相似文献
9.
10.
Salma Azaouzi Ali Baklouti Mounir Elloumi 《Annali di Matematica Pura ed Applicata》2014,193(3):723-737
Let \(K\) be a compact subgroup of automorphisms of \(\mathbb R ^n\) . We prove in this paper a generalization of Hardy’s uncertainty principle on the semi-direct product \(K\ltimes \mathbb R ^n\) , and we solve the sharpness problem. As a consequence, a complete analogue of classical Hardy’s theorem is obtained. The representation theory and the Plancherel formula play an important role in the proofs. 相似文献
11.
Yoshihiro Sugimoto 《Journal of Fixed Point Theory and Applications》2016,18(3):547-567
In this paper, we study the relationship between wrapped Floer homology and displaceability of a Lagrangian submanifold which we call vanishing theorem of wrapped Floer homology. We also use this theorem to study Hofer’s pseudometric on the space of Lagrangian submanifolds. We prove an inequality, the Lagrangian version of the inequality of Gromov width and displacement energy, which is called energy-capacity inequality. 相似文献
12.
The Ramanujan Journal - In this paper, we give some extensions for Ramanujan’s circular summation formulas with the mixed products of two Jacobi’s theta functions. As applications, we... 相似文献
13.
A. I. Perov 《Functional Analysis and Its Applications》2010,44(1):69-72
Let M be a complete K-metric space with n-dimensional metric ρ(x, y): M × M → R
n
, where K is the cone of nonnegative vectors in R
n
. A mapping F: M → M is called a Q-contraction if ρ (Fx,Fy) ⩽ Qρ (x,y), where Q: K → K is a semi-additive absolutely stable mapping. A Q-contraction always has a unique fixed point x* in M, and ρ(x*,a) ⩽ (I - Q)-1 ρ(Fa, a) for every point a in M. The point x* can be obtained by the successive approximation method x
k
= Fx
k-1, k = 1, 2,..., starting from an arbitrary point x
0 in M, and the following error estimates hold: ρ (x*, x
k
) ⩽ Q
k
(I - Q)-1ρ(x
1, x
0) ⩽ (I - Q)-1
Q
k
ρ(x
1, x
0), k = 1, 2,.... Generally the mappings (I - Q)-1 and Q
k
do not commute. For n = 1, the result is close to M. A. Krasnosel’skii’s generalized contraction principle. 相似文献
14.
Apostolos Hadjidimos 《Linear algebra and its applications》2012,436(7):2156-2168
In this paper an extension of Ostrowski’s Theorem for complex square irreducible matrices is presented. Also extensions of similar statements for square complex matrices are analyzed and completed. Most of the statements in this work cover also the case of reducible matrices. 相似文献
15.
《Optimization》2012,61(3):233-238
A recent theorem Of W.Takahashi will be pointed out as an equivalent formulation of Ekelands variational principle. This gives rise to study functions having sets of weak sharp minimas in a generalized sense. Connections to the proximal point algorithm in the convex case leads to the basic and still open question: How to use Ekelands principle numerically 相似文献
16.
From Maxwell’ s equations for electromagnetic fields, time-averaged energy flow density vector of stable monochromatic linearly
polarized light in an isotropic insulative nonmagnetic medium is deduced. By the introduction of time-averaged energy flow
density rays and the definition of new generalized refractive indexn
G1, Fermat’s principle of geometric optics is further generalized and its application conditions are discussed. The generalized
Fermat' s principle can be used to describe stable transmission of light in a medium with variable refractive index. The necessary
and sufficient conditions of a nondivergent and nonfocusing light beam are derived from this Fermat’s principle.
Project supported by the National Natural Science Foundation of China (Grant No. 69789801) and Guangdong Provincial Natural
Science Foundation of China. 相似文献
17.
18.
Elói Medina Galego 《Archiv der Mathematik》2005,85(5):433-439
Let X and Y be Banach spaces such that each of them is isomorphic to a complemented subspace of the other. In 1996, W. T. Gowers solved
the Schroeder-Bernstein Problem for Banach spaces by showing that X is not necessarily isomorphic to Y. In this paper, we give suitable conditions on finite sums of X and Y to yield that Xm is isomorphic to Yn for some
In other words, we obtain some extensions of the well-known Pełczyński decomposition method in Banach spaces. In order to
do this, we introduce the notion of Nearly Schroeder-Bernstein Quadruples for Banach spaces and pose a Conjecture to characterise
them.
Received: 5 January 2005 相似文献
19.
In this paper we extend Mizoguchi–Takahashi's fixed point theorem for multi-valued mappings on a metric space endowed with a graph. As an application, we establish a fixed point theorem on an ε -chainable metric space for mappings satisfying Mizoguchi–Takahashi contractive condition uniformly locally. Also, we establish a result on the convergence of successive approximations for certain operators (not necessarily linear) on a Banach space as another application. Consequently, this result yields the Kelisky–Rivlin theorem on iterates of the Bernstein operators on the space C[0,1] and also enables us study the asymptotic behaviour of iterates of some nonlinear Bernstein type operators on C[0,1]. 相似文献