共查询到20条相似文献,搜索用时 15 毫秒
1.
Given a fixed point free antianalytic involution k of a domain G in thecomplex plane, bounded by a finite number of analytic curves, k-invariant Greensfunctions are defined on G. The Lindelöfs principle is extended to k-invariantGreens functions. When G is the annulus, k-invariant Greens functions areobtained in the explicit form. Since the factorization of the annulus by the group kgenerated by k produces a Möbius strip, the respective result helped us to obtain explicitforms for Greens functions on the Möbius strip. 相似文献
2.
K.K. Chong 《Southeast Asian Bulletin of Mathematics》2000,24(3):355-364
In this paper, a Ky Fan inequality and an inequality by Wu and Wang [10] will be generalized. Some new and improved refinements of the Ky Fan inequality will be put forward.AMS Subject Classification (2000) 26D15 相似文献
3.
In this paper we show the connection between Sobolev orthogonal Laurent polynomials on the unit circle and Sobolev orthogonal polynomials on a bounded interval of the real line. As a consequence we deduce the strong outer asymptotics for Sobolev orthogonal polynomials with respect to the inner product
assuming that 1 belongs to the Szeg class as well as (1–x2)–1L1(1).
Mathematics Subject Classifications (2000) 33C47, 42C05. 相似文献
4.
The most famous open problem involving domination in graphs is Vizings conjecture which states the domination number of the Cartesian product of any two graphs is at least as large as the product of their domination numbers. In this paper, we investigate a similar problem for total domination. In particular, we prove that the product of the total domination numbers of any nontrivial tree and any graph without isolated vertices is at most twice the total domination number of their Cartesian product, and we characterize the extremal graphs.Research supported in part by the South African National Research Foundation and the University of KwaZulu-Natal 相似文献
5.
Hans-Jürgen Hoehnke 《Acta Appl Math》1998,52(1-3):277-283
Group theoretical constructions usually terminate in the problem to decide whether two groups are isomorphic. In the case of arbitrary finite groups the calculation of ordinary group characters is not sufficient to decide about it. R. Brauer posed the problem, to find suitable additional group invariants. Applying the theory of norm-type forms of associative algebras, specialized to group algebras, we found, that the 1-, 2-, and 3-characters in the nonmodular case (with some restrictions on the characteristic), especially over the field of complex numbers, are necessary and sufficient for the finite groups. This sharpens a recent result of E. Formanek and D. Sibley on group determinants. Detailed proofs will be given elsewhere. Here we give an overview on recent related results and add a remark concerning calculations in the modular group case. 相似文献
6.
Given a family of real-valued functions defined in a normed vector space X, we study a class of -convex functions having a simpler representation for the --subdifferential. The case =X* with X being a Banach space (the Fenchel case) is particularly analysed, and we find that the sublinear lower semicontinuous functions satisfy the simpler representation with respect to X*. As a side result, we provide various new subdifferential-type charaterizations of positively homogeneous functions among those which are lower semicontinuous and convex. In addition, we also discuss that family related to the the so-called prox-bounded functions. In this more general framework our simpler representation may give rise to a new notion of enlargement of the subdifferential.Mathematics Subject Classifications (2000) 47H05, 46B99, 47H17.This work is based on research material supported in part by CONICYT-Chile through FONDECYT 101-0116 and FONDAP-Matemáticas Aplicadas II. 相似文献
7.
Mehdi Khayaty 《Southeast Asian Bulletin of Mathematics》2000,24(2):239-242
Let G be a transitive permutation group on a set and m a positive integer. If | – | m for every subset of and all g G, then || 2mp/(p – 1) where p is the least odd prime dividing |G|. It was shown by Mann and Praeger [13] that, for p = 3, the 3-groups G which attain this bound have exponent p. In this paper we will show a generalization of this result for any odd primes.AMS Subject Classification (2000), 20BXX 相似文献
8.
In this paper we use Lidstone polynomials to prove further generalization of Giaccardi generalization of the well-known Petrovis inequality. 相似文献
9.
A. A. Tolstonogov 《Set-Valued Analysis》2002,10(1):53-77
We establish the existence of extreme solutions for a class of nonlinear second-order evolution inclusions with a nonconvex right-hand side defined on an evolution triple of Banach spaces. Then we show that extreme solutions which belong to the solution set of the original system are in fact dense and codense in the solution set of a system with a convexified right-hand side. The necessary and sufficient conditions for closedness of the solution set for the original system in an appropriate spaces of functions are given as well. Finally, an example of a nonlinear hyperbolic distributed parameter system is worked out in detail. 相似文献
10.
WeiLi Peng-chengXu 《应用数学学报(英文版)》2003,19(4):677-690
The existence of Silnikov‘s orbits in a four-dimensional dynamical system is discussed. The existence of Silnikov‘s orbit resulting in chaotic dynamics is established by the fiber structure of invariant manifold and high-dimensional Melnikov method. Numerical simulations are given to demonstrate the theoretical analysis. 相似文献
11.
Millicent Premabai 《Southeast Asian Bulletin of Mathematics》2003,26(1):71-75
We consider the class of functions R(A, B) introduced by Dixit and Pal, where b 0 is a complex number and A, B are fixed members –1 B < A 1. We will study the -neighbourhoods for functions belonging to Rb(A, B), by using convolution techniques.AMS Mathematics Classification (2000): 30C55 相似文献
12.
We discuss a classical result in planar projective geometry known as Steiners theorem involving 12 interlocking applications of Pappus theorem. We prove this result using three dimensional projective geometry then uncover the dynamics of this construction and relate them to the geometry of the twisted cubic.Mathematics Subject Classification (2000). Primary 51N15. 相似文献
13.
We prove the following Whitney estimate. Given 0 < p \le \infty,
r \in N, and d \ge 1, there exists a constant C(d,r,p),
depending only on the three parameters, such that for every
bounded convex domain \subset Rd, and each function
f \in Lp(),
Er-1(f,)p \le C(d,r,p)r(f, diam())p,
where Er-1(f,)p is the degree of
approximation by polynomials of total degree, r – 1, and
r(f,·)p is the modulus of smoothness of order r.
Estimates like this can be found in the literature but with
constants that depend in an essential way on the geometry of the
domain, in particular, the domain is assumed to be a Lipschitz
domain and the above constant C depends on the minimal
head-angle of the cones associated with the boundary.
The estimates we obtain allow us to extend to the multivariate
case, the results on bivariate Skinny B-spaces of Karaivanov and
Petrushev on characterizing nonlinear approximation from nested
triangulations. In a sense, our results were anticipated by
Karaivanov and Petrushev. 相似文献
14.
Some generalizations of the Ostrowski inequality, the Milovanovi-Peari-Fink inequality, the Dragomir-Agarwal inequality and the Hadamard inequality are given. 相似文献
15.
In this paper we show that the weakly -Engel conditions are closely related to the existance of normal -complements; while the -Engel conditions are closely related to the -nilpotent groups.AMS Subject Classification (2000): 20D20 相似文献
16.
Brauers centerlizer algebras have a basis consisting of undirected graphs. Signed Brauers algebras have a basis consisting of directed graphs, which generalizes Brauers algebras. In this paper, we compute a complete set of matrix units of Signed Brauers algebras.AMS Subject Classification: 99c:16028, 16S99(16K20). 相似文献
17.
N. I. Sandu 《Czechoslovak Mathematical Journal》2005,55(1):1-23
In this paper some infinitely based varieties of groups are constructed and these results are transferred to the associative algebras (or Lie algebras) over an infinite field of an arbitrary positive characteristic. 相似文献
18.
We prove a necessary and sufficient condition for integrability of the reciprocal weight function of orthogonal polynomials. The condition is given in terms of the asymptotic behaviour of the norm of extremal polynomials with prescribed coefficients. 相似文献
19.
Cui Guizhen 《数学学报(英文版)》1996,12(2):122-125
A conjugacy betweenC
1+ -hyperbolic circle covering maps isC
1+ if it has a positive derivative on some point in the -set. 相似文献
20.
In this paper, Newmark time-stepping scheme and edge elements are used to numerically solve the time-dependent scattering problem in a three-dimensional cavity. Finite element methods based on the variational formulation derived in [23] are considered. Due to the lack of regularity of
r
, the existence and uniqueness of the discrete solutions and their convergence are proved by using the concept of collectively compact operators. An optimal convergence rate in the energy norm is also established. 相似文献