共查询到20条相似文献,搜索用时 46 毫秒
1.
Noboru Hamada 《Graphs and Combinatorics》1989,5(1):137-147
Recently, Hamada [5] characterized all {v
2 + 2v
1,v
1 + 2v
0;t,q}-min · hypers for any integert 2 and any prime powerq 3 wherev
l
= (q
l – 1)/(q – 1) for any integerl 0. The purpose of this paper is to characterize all {v
+ 1 + 2v
,v
+ 2v
– 1;t,q}-min · hypers for any integerst, and any prime powerq such thatt 3, 2 t – 1 andq 5 and to characterize all (n, k, d; q)-codes meeting the Griesmer bound (1.1) for the casek 3, d = q
k-1 – (2q
-1 +q
) andq 5 using the results in Hamada [3, 4, 5]. 相似文献
2.
Exact order of convergence of the secant method 总被引:1,自引:0,他引:1
M. Raydan 《Journal of Optimization Theory and Applications》1993,78(3):541-551
We study the exact order of convergence of the secant method when applied to the problem of finding a zero of a nonlinear function defined from into . Under the standard assumptions for which Newton's method has the exact Q-order of convergencep, wherep is some positive integer, we establish that the secant method has the Q-order and the exact R-order of convergence
. We prove also that, forp=2 andp=3, the secant method has the exact Q-order of convergenceS(p). Moreover, we present a counterexample to show that, forp4, it may not have an exact Q-order of convergence.The author wishes to thank Florian Potra, Richard Tapia, and the referees for helpful comments and suggestions.This paper was prepared while the author was Visiting Professor, Department of Mathematics, University of Kentucky, Lexington, Kentucky. 相似文献
3.
Péter Simon 《Analysis Mathematica》2002,28(3):231-249
Two-parameter Vilenkin systems will be investigated. First we give a general sufficient condition for multipliers to be bounded between two-dimensional Hardy spaces H
q(0<q1). By means of interpolation and duality argument, this theorem can be extended to other spaces. As a consequence, we can prove the (H
q
, L
q)-boundedness of the Sunouchi operator U with respect to two-parameter Vilenkin systems for all 0 <q 1. Moreover, the equivalence f{Hq} ~ Ufq (f Hq)follows for 1/2<q 1. 相似文献
4.
Summary This paper studies annihilating properties of operators generated by spherical convolution over the unit sphere 2q of Cq. Its specific aim is to answer the following question: given a complex number , ||1, to determine what functions of L2(2q) have zero average over every section w,q :={ z 2q: <z,w> = } of 2q . Here, <.,.>stands for the usual inner product of Cq. 相似文献
5.
Jean-Paul Bézivin 《Aequationes Mathematicae》1992,43(2-3):159-176
Summary In this paper, we study the convergence of formal power series solutions of functional equations of the formP
k(x)([k](x))=(x), where
[k]
(x) denotes thek-th iterate of the function.We obtain results similar to the results of Malgrange and Ramis for formal solutions of differential equations: if(0) = 0, and(0) =q is a nonzero complex number with absolute value less than one then, if(x)=a(n)x
n is a divergent solution, there exists a positive real numbers such that the power seriesa(n)q
sn(n+1)2
x
n has a finite and nonzero radius of convergence. 相似文献
6.
On the Fell topology 总被引:3,自引:0,他引:3
Gerald Beer 《Set-Valued Analysis》1993,1(1):69-80
Let 2
X
denote the closed subsets of a Hausdorff topological space <X, {gt}>. The Fell topology F on 2
X
has as a subbase all sets of the form {A 2
X
:A V 0}, whereV is an open subset ofX, plus all sets of the form {A 2
X
:A W}, whereW has compact complement. The purpose of this article is two-fold. First, we characterize first and second countability for F in terms of topological properties for . Second, we show that convergence of nets of closed sets with respect to the Fell topology parallels Attouch-Wets convergence for nets of closed subsets in a metric space. This approach to set convergence is highly tractable and is well-suited for applications. In particular, we characterize Fell convergence of nets of lower semicontinuous functions as identified with their epigraphs in terms of the convergence of sublevel sets. 相似文献
7.
Jelena V. Manojlović 《Czechoslovak Mathematical Journal》2005,55(1):41-60
New oscillation criteria are given for the second order sublinear differential equation
where a C
1 ([t
0, )) is a nonnegative function, , f C() with (x) 0, xf(x) / (x) > 0 for x 0, , f have continuous derivative on \ {0} with [f(x) / #x03C8;(x)] 0 for x 0 and q C([t
0, )) has no restriction on its sign. This oscillation criteria involve integral averages of the coefficients q and a and extend known oscillation criteria for the equation x (t) + q(t)x(t) = 0. 相似文献
8.
N. M. Konsevich 《Ukrainian Mathematical Journal》2000,52(7):1029-1039
We obtain order estimates for the best trigonometric approximations of the classes L
, p
of periodic functions of many variables in the space L
q
for 1 < p < q 2 and 1 < q p < . 相似文献
9.
We consider an evolution process in a Gaussian random field V(q) with the mean ‹V(q)› = 0 and the correlation function W(|q – q|) ‹V(q)V(q)›, where q
d
and d is the dimension of the Euclidean space
d
. For the value ‹G(q,t;q
0)›, t > 0, of the Green's function of the evolution equation averaged over all realizations of the random field, we use the Feynman–Kac formula to establish an integral equation that is invariant with respect to a continuous renormalization group. This invariance property allows using the renormalization group method to find an asymptotic expression for ‹G(q,t;q
0)› as |q – q
0| and t . 相似文献
10.
The Fuglede-Putnam theorem (in Moore's asymptotic form) on the commutators of normal operators of a Hilbert space is generalized, in particular, in the following form. Leta
1,a
1, b1 and b2 be the elements of a complex Banach algebra such that [a
1 b1]=[a
2, b2]=0 and
as . Then the inequality b
1
x–xb
2(a
1
x–xa
2), where () as 0, holds uniformly in every ball xR<.Translated from Matematicheskie Zametki, Vol. 22, No. 2, pp. 179–188, August, 1977. 相似文献
11.
Let {T
p:q
1 p q
2} be a family of consistent C
0 semigroups on L
p(), with q
1,q
2 [1,) and open. We show that certain commutator conditions on T
p and on the resolvent of its generator A
p ensure the p independence of the spectrum of A
p for p [q
1,q
2.Applications include the case of Petrovskij correct systems with Hölder continuous coefficients, Schrödinger operators, and certain elliptic operators in divergence form with real, but not necessarily symmetric, or complex coefficients. 相似文献
12.
Noboru Hamada 《Graphs and Combinatorics》1989,5(1):63-81
In this paper, we shall characterize all {(q + 1) + 2, 1;t, q}-min · hypers and all {2(q + 1) + 2, 2; 2,q}-min · hypers for any integert 2 and any prime powerq 3. In the next paper [8], we shall characterize all {2(q + 1) + 2, 2;t, q}-min · hypers for any integert 3 and any prime powerq 5 using the results in this paper. 相似文献
13.
Denote by
q an affine plane of order q. In the desarguesian case q=AG(2,q), q 5(q= ph, p prime), we prove that the smallest cardinality of a blocking set is 2q–1. In any arbitrary affine plane q (desarguesian or not) with q5, for any integer k with 2q–1 k(q–1)2, we construct a blocking set S with ¦S¦=k. For an irreducible blocking set S of q we determine the upper bound S [qq]+1. We prove that if q contains a blocking set S which is irreducible with its complementary blocking set, then necessarily q=AG(2, 4) and S is uniquely determined. Finally we introduce techniques to obtain blocking sets in AG(2, q) and in PG(2, q).Research partially supported by G.N.S.A.G.A. (CNR) 相似文献
14.
Summary The local limit problem is investigated for sequences (p
n
) of probability densities with stable limit densitiesq
having characteristic exponent (0, 2).It is shown that certain continuity-properties (Hölder-continuity) are necessary and - under appropriate additional conditions-sufficient for
asn. In this sence the speed of convergence is also studied. 相似文献
15.
John S. Caughman IV 《Journal of Algebraic Combinatorics》2002,15(3):223-229
Let denote a bipartite distance-regular graph with diameter D 3 and valency k 3. Suppose 0, 1, ...,
D
is a Q-polynomial ordering of the eigenvalues of . This sequence is known to satisfy the recurrence
i – 1 –
i
+
i + 1 = 0 (0 > i > D), for some real scalar . Let q denote a complex scalar such that q + q
–1 = . Bannai and Ito have conjectured that q is real if the diameter D is sufficiently large.We settle this conjecture in the bipartite case by showing that q is real if the diameter D 4. Moreover, if D = 3, then q is not real if and only if 1 is the second largest eigenvalue and the pair (, k) is one of the following: (1, 3), (1, 4), (1, 5), (1, 6), (2, 4), or (2, 5). We observe that each of these pairs has a unique realization by a known bipartite distance-regular graph of diameter 3. 相似文献
16.
In this paper, we consider cone-subconvexlike vector optimization problems with set-valued maps in general spaces and derive scalarization results, -saddle point theorems, and -duality assertions using -Lagrangian multipliers. 相似文献
17.
Angelo Sonnino 《Journal of Geometry》1999,66(1-2):187-191
An infinite family of largek-arcs in the inversive plane
over a finite field GF(q), withq 1 (mod 3),q71 orq {17,23, 27,29,41,47,49,53,59} is constructed.Research supported by G.N.S.A.G.A. of C.N.R., project Applicazioni della matematica per la tecnologia e la società, subproject Calcolo simbolico. 相似文献
18.
Removability of singularities in potential theory 总被引:2,自引:0,他引:2
Josef Král 《Potential Analysis》1994,3(1):119-131
IfQ is a compact metric space, a system of its closed subsets andg: R a prescribed nonnegative function, the conditions ong, and a closedF Q are specified guaranteeing the existence of a nontrivial Borel measure with support inF such that (L)g(L), L.For some kernels in potential theory these conditions permit to characterize geometrically those sets which contain support of a nontrivial measure whose potential belongs to a given class of functions. Several applications concerning removability of singularities of partial differential equations are presented. 相似文献
19.
Victor Ginzburg Nicolas Guay Eric Opdam Raphaël Rouquier 《Inventiones Mathematicae》2003,154(3):617-651
We study the category of representations of the rational Cherednik algebra AW attached to a complex reflection group W. We construct an exact functor, called Knizhnik-Zamolodchikov functor: W-mod, where W is the (finite) Iwahori-Hecke algebra associated to W. We prove that the Knizhnik-Zamolodchikov functor induces an equivalence between /tor, the quotient of by the subcategory of AW-modules supported on the discriminant, and the category of finite-dimensional W-modules. The standard AW-modules go, under this equivalence, to certain modules arising in Kazhdan-Lusztig theory of cells, provided W is a Weyl group and the Hecke algebra W has equal parameters. We prove that the category is equivalent to the module category over a finite dimensional algebra, a generalized q-Schur algebra associated to W. 相似文献
20.
J. J. Blair 《Numerische Mathematik》1972,19(2):99-109
Letu be the solution of the differential equationLu(x)=f(x, u(x)) forx(0,1) (with appropriate boundary conditions), whereL is an elliptic differential operator. Letû be the Galerkin approximation tou with polynomial spline trial functions. We obtain error bounds of the form
, where 0jm andmk2m+q,p=2 orp=,h is the mesh size andq is a non negative integer depending on the splines being used.This research was supported in part by the Office of Naval Research under Contract N00014-69-A0200-1017. 相似文献