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1.
1<q<2 L:=
n=1
1/q
n=1/q–1. [0,1]
n()=1, A
n:=
i=1
n–1
i(x)/qi+1/n
x
n(x)=0, n>. , =
n=1
n(x)/qn. F: [0,L]R , F(x)=
n=1
n(x)an,
n=1
¦a
n¦<. [0,L]. q(1,2), . , q(1, 2), . . 相似文献
2.
3.
В. Н. Деменко 《Analysis Mathematica》1989,15(1):17-35
p- . E R
n -, f () p(R
n)., ER
n 2nq
0, E— - q
0(q
0-1). : q0>2 n1 E
R
n 2nq
0, p- p<0. , f-[-, ]n, f A
p(R
n) ,
p([-, ]n) (1 << ). 相似文献
4.
T. I. Akhobadze 《Analysis Mathematica》1982,8(2):79-102
. , , –1<<0. .
The present work was written on the basis of two earlier works received byAnalysis Mathematica on January 16, 1979, and July 20, 1979. 相似文献
The present work was written on the basis of two earlier works received byAnalysis Mathematica on January 16, 1979, and July 20, 1979. 相似文献
5.
6.
7.
U — [0, 1] Y — . X=[1–U
1/v
/Y], U Y. 相似文献
8.
Ferenc Móricz 《Analysis Mathematica》1985,11(2):125-137
, - , (C, 1,1), (C, 1,0) (C, 0,1)- . , , . - .
Dedicated to Academician S. M. Nikol'skii on his 80th birthday 相似文献
Dedicated to Academician S. M. Nikol'skii on his 80th birthday 相似文献
9.
The non-commutative torus C
*(n,) is realized as the C*-algebra of sections of a locally trivial C*-algebra bundle over S with fibres isomorphic to C
*n/S, 1) for a totally skew multiplier 1 on n/S. D. Poguntke [9] proved that A
is stably isomorphic to C(S) C(*( Zn/S, 1) C(S) A Mkl( C) for a simple non-commutative torus A and an integer kl. It is well-known that a stable isomorphism of two separable C*-algebras is equivalent to the existence of equivalence bimodule between them. We construct an A-C(S) A-equivalence bimodule. 相似文献
10.
Let m be an integer with m3. Let K and K be perfect fields of characteristic p and p such that (p,m)=1 and (p,m)=1, respectively. Moreover let A and A be algebraic function fields over K and K defined by xm+ym=a(0, ak) and xm+ym=a(a0 ak), respectively. Put g=(m–1)(m–2)/2. Denote by M(K,p,a) and M(K,p,a) the Hasse-Witt matrices of A and A with respect to the canonical bases of holomorphic differentials. Then we show that if p+p0(mod.m) then rank M(K,p,a)+rank M(K,p,a)=g and if pp1 (mod.m) then rank M(K,p,a)=rank M(K,p,a). 相似文献
11.
, , , . .
Dedicated to Professors K. Tandori and L. Leindler on the occasion of their anniversaries
This work was completed in support of the Russian Foundation of Fundamental Research (Project # 96-01-00094) and of the International Scientific Foundation (Grant # NCI-300). 相似文献
Dedicated to Professors K. Tandori and L. Leindler on the occasion of their anniversaries
This work was completed in support of the Russian Foundation of Fundamental Research (Project # 96-01-00094) and of the International Scientific Foundation (Grant # NCI-300). 相似文献
12.
Alexander Ženíšek 《Applications of Mathematics》2003,48(5):367-404
A modification of the Nikolskij extension theorem for functions from Sobolev spaces H
k() is presented. This modification requires the boundary to be only Lipschitz continuous for an arbitrary k however, it is restricted to the case of two-dimensional bounded domains. 相似文献
13.
Alexander Ženíšek 《Applications of Mathematics》1999,44(1):55-80
Making use of a line integral defined without use of the partition of unity, Green's theorem is proved in the case of two-dimensional domains with a Lipschitz-continuous boundary for functions belonging to the Sobolev spaces W1,p () H1,p () (1 p < ). 相似文献
14.
M. F. Timan 《Analysis Mathematica》1978,4(1):75-82
N- (p, q) (1 p
N-, L p - L q -. , , , L L q - , , . 相似文献
15.
— [0,1] ,E — - e=1 [0,1]. I —
E
=1, E=L
2 x
e
=xL
2 x E.
This work was prepared when the second author was a visiting professor of the CNR at the University of Firenze. He was supported by the Soros International Fund. 相似文献
This work was prepared when the second author was a visiting professor of the CNR at the University of Firenze. He was supported by the Soros International Fund. 相似文献
16.
17.
18.
В. Ф. Гапошкин 《Analysis Mathematica》1985,11(3):193-199
(C, ). , . 0<<1. 1) - (
k
),
k
=a
k
, (C, ),
. 2)
, , (C, ) ;
k
= =¦a
k
¦. 相似文献
19.
Yoshitsugu Yamamoto 《Journal of Global Optimization》2002,22(1-4):285-317
Over the past several decades, the optimization over the efficient set has seen a substantial development. The aim of this paper is to provide a state-of-the-art survey of the development. Given p linear criteria c
1x,,cp x and a feasible region X of R
n, the linear multicriteria problem is to find a point x of X such that no point x' of X satisfies (c1 x',,cp x')(c1 x,,cp x) and (c1x',,cp x')q (c1 x ,,cp x). Such a point is called an efficient point. The optimization over the efficient set is the maximization of a given function over the set of efficient points. The difficulty of this problem is mainly due to the nonconvexity of this set. The existing algorithms for solving this problem could be classified into several groups such as adjacent vertex search algorithm, nonadjacent vertex search algorithm, branch-and-bound based algorithm, Lagrangian relaxation based algorithm, dual approach and bisection algorithm. In this paper we review a typical algorithm from each group and compare them from the computational point of view. 相似文献
20.
Jacques Rappaz 《Numerische Mathematik》1984,45(1):117-133
Summary We present a simple method, based on a variant of the implicit function theorem, which leads to the existence of (a part of) a nontrivial solution branch of the nonlinear eigenvalue problem –u=u
+ in ,u=–1 on , where is a two-dimensional domain with boundary . The advantage of this method is that we can apply it for analysing the approximation of the above problem by a finite element method; the error analysis of the discrete problem appears immediately. We give also an iteration scheme which allows to solve the approximate problem. 相似文献