首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到20条相似文献,搜索用时 31 毫秒
1.
We study a generalization of the classical Henstock-Kurzweil integral, known as the strong -integral, introduced by Jarník and Kurzweil. Let be the space of all strongly -integrable functions on a multidimensional compact interval E, equipped with the Alexiewicz norm We show that each element in the dual space of can be represented as a strong -integral. Consequently, we prove that fg is strongly -integrable on E for each strongly -integrable function f if and only if g is almost everywhere equal to a function of bounded variation (in the sense of Hardy-Krause) on E.  相似文献   

2.
Conclusion Nous espérons avoir convaincu le lecteur qu'il peut être utile de considérer la classe de Maslov comme une classe bornée. Dans [Gh], nous avons montré que la classe d'Euler bornée pour un groupe d'homéomorphismes directs du cercle rend compte de la dynamique topologique de ce groupe. Existe-t-il un résultat analogue pour Sp(2n,)? En d'autres termes, soit un groupe discret et 1, 2 deux représentations de dans Sp(2n,). On suppose que les cocycles 1 * et 2 * définissent la même classe bornée. Que peut-on en conclure sur 1 et 2?Par ailleurs, l'article [At l] traite aussi d'invariants sur SL(2,) différents de ceux que nous avons considérés, comme par exemple les fonctionsL de Shimizu. Est-il possible de les faire rentrer naturellement dans notre cadre?
  相似文献   

3.
Summary We prove the following two non-existence theorems for symmetric balanced ternary designs. If 1 = 1 and 0 (mod 4) then eitherV = + 1 or 42 – + 1 is a square and (42 – + 1) divides 2 – 1. If 1 = 2 thenV = ((m + 1)/2) 2 + 2,K = (m 2 + 7)/4 and = ((m – 1)/2)2 + 1 wherem 3 (mod 4). An example belonging to the latter series withV = 18 is constructed.  相似文献   

4.
Zusammenfassung Es wird ein System mit exponentiellem Zugang () und exponentieller Abfertigung () untersucht, bei dem sich die ungeduldigen Kunden nur dann der Warteschlange anschließen, wenn sie eine kurze Abfertigungszeit erwarten. Die (bekannte) Lösung des Problems führt auf eine unendliche PotenzreiheH(; ), die von zwei Parametern abhängt (=/; enthält ein Maß für die Ungeduld der Kunden). Für kleine Werte von und/oder genügen wenige Reihenglieder zur Berechnung vonH(; ). Für große Werte von und Werte von nahe bei 1 konvergiert die Reihe nur langsam. Für diesen Fall wird eine Integraldarstellung als Näherung hergeleitet, mit der man die kennzeichnenden Parameter des Systems (die mittlere LängeL der Schlange und ihre VarianzV) einfach findet. Schließlich werden die günstigsten Bedingungen (0) so berechnet, daß der Gewinn aus dem Betrieb eines solchen Systems möglichst groß wird. Mit wachsendem AufwandverhältnisA/E (A = Kosten je mögliche Abfertigung,E = Einnahme je wirkliche Abfertigung) nimmt 0 immer größere Werte an. Der je Zeiteinheit erzielbare größte GewinnG max sinkt damit rasch ab.
Summary Impatient customers arriving exponentially at a single exponential service channel will join a queue only if they expect to be served within a short interval of time. The (known) solution to this problem involves an infinite power seriesH(;) depending on two parameters (=/; indirectly accounts for the degree of impatience of customers). For small values of and/or a few terms of the series suffice to computeH(; ). For large values of and values of near 1 the series converges only very slowly. It is shown that in this case the series can be approximated by an integral allowing the characteristic parameters of the system (mean lengthL and varianceV of the queue) to be easily determined. Finally, optimal conditions (0) are derived which maximize the profit earned from running such a system. It turns out that 0 is an increasing function of the ratioA/E (A = cost per potential service operation;E = revenue per actual service operation). At the same time the maximal profitG max (per unit of time) falls off rapidly.


Vorgel v.:F. Ferschl  相似文献   

5.
We find which are the simply connected domains in 2 satisfying the Dido condition for a straight shoreline, with a given area A and a fixed inradius , which minimize the length of the free boundary. There are three different cases according to the values of A and .Research partially supported by grant PS87-0115-C03-01 of the DGICYT.  相似文献   

6.
We consider hypergroups associated with Jacobi functions () (x), (–1/2). We prove the existence of a dual convolution structure on [0,+[i(]0,s 0]{{) =++1,s 0=min(,–+1). Next we establish a Lévy-Khintchine type formula which permits to characterize the semigroup and the infinitely divisible probabilities associated with this dual convolution, finally we prove a central limit theorem.  相似文献   

7.
The paper is devoted to the study of summability of weighted Lagrange interpolation on the roots of orthogonal polynomials with respect to a weight function w. Starting from the Lagrange interpolation polynomials we shall construct a wide class of discrete processes (using summations) which are uniformly convergent in a suitable Banach space (C) of continuous functions (w denotes a weight). We shall give such conditions with respect to w, , (C) and to summation methods for which the uniform convergence holds. Error estimates for the approximation will also be considered.  相似文献   

8.
If is a radical of near-rings and is its supplementing radical, then (N)(N) N. We address the issue when (N) (N) = N holds. In the variety F of near-rings in which the constants form an ideal, the assignment c: N Nc is a hereditary Kurosh–Amitsur radical, c is characterized in terms of distributors and criteria are given for the decomposition N = c(N) c(N). In the subvariety A of all abstract affine near-rings, assigning the maximal torsion ideal (N) is a hereditary Kurosh–Amitsur radical. If such near-rings N A satisfy dcc on principal right ideals, then N splits into a direct sum N = (N) (N) where the additive group of (N) is torsionfree and divisible. Dropping dcc on principal right ideals, an ``essential" decomposition result is proved.  相似文献   

9.
Under the assumption of the Riemann Hypothesis, an asymptotic formula with a sharp error term is established for nx k (n), where k (n) denotes the number of ways to writen as a sum of twok-th powers of coprime positive integers (k3).  相似文献   

10.
Summary This paper treats the nonlinear age-dependent population problem (1)(0,a)=(a), a I; (2)(t, 0)=F((t, ·)), t0; (3) ,t0,where I is the age range of the population, (t, ·) is the unknown age density at time t, is the known initial age distribution, and the functionals F and G are nonlinear. The problems of existence, uniqueness, continuous dependence upon initial values, and the positivity of solutions are investigated using the method of nonlinear semigroups.Supported in part by the National Science Foundation Grant NSF 75-06332A01.  相似文献   

11.
In the previous part of this paper, we constructed a large family of Hecke algebras on some classical groups G defined over p-adic fields in order to understand their admissible representations. Each Hecke algebra is associated to a pair (J , ) of an open compact subgroup J and its irreducible representation which is constructed from given data = (, P0, ). Here, is a semisimple element in the Lie algebra of G, P0 is a parahoric subgroup in the centralizer of in G, and is a cuspidal representation on the finite reductive quotient of P0. In this paper, we explicitly describe those Hecke algebras when P0 is a minimal parahoric subgroup, is trivial and is a character.  相似文献   

12.
We find the necessary and sufficient conditions for three constants 1, 2, 3 3 to be the principal Ricci curvatures of some 3-dimensional locally homogeneous Riemannian space.The first author was supported by the grant GAR 201/93/0469; the second author was supported by the grant SFS, Project #0401.  相似文献   

13.
Let (, A, ) be a measure space, a function seminorm on M, the space of measurable functions on , and M the space {f M : (f) < }. Every Borel measurable function : [0, ) [0, ) induces a function : M M by (f)(x) = (|f(x)|). We introduce the concepts of -factor and -invariant space. If is a -subadditive seminorm function, we give, under suitable conditions over , necessary and sufficient conditions in order that M be invariant and prove the existence of -factors for . We also give a characterization of the best -factor for a -subadditive function seminorm when is -finite. All these results generalize those about multiplicativity factors for function seminorms proved earlier.  相似文献   

14.
Let X and Y be metrizable spaces. We show that, for a mapping f : X Y, there exists a quasi-metric X inducing the topology of X such that f regarded as a mapping from (X, max{, –1}) to Y is continuous if and only if f in the original topology of X is a -discrete map of Borel class 1. Further, we prove that, for every -discrete mapping f: X Y of Borel class + 1, there exists a compatible quasi-metric on X such that f : (X, max{, –1}) Y is of Borel class . We also investigate a more general situation when the range of the mapping under consideration is not necessarily metrizable. In passing, we obtain some results related to the behaviour of absolutely Borel sets and absolutely analytic spaces with respect to compatible quasi-metrics.  相似文献   

15.
This paper deals with polynomial approximations(x) to the exponential function exp(x) related to numerical procedures for solving initial value problems. Motivated by stability requirements, we present a numerical study of the largest diskD()={z C: |z+|} that is contained in the stability regionS()={z C: |(z)|1}. The radius of this largest disk is denoted byr(), the stability radius. On the basis of our numerical study, several conjectures are made concerningr m,p=sup {r(): m,p}. Here m, p (1pm; p, m integers) is the class of all polynomials(x) with real coefficients and degree m for which(x)=exp(x)+O(x p+1) (forx 0).  相似文献   

16.
By using the classical Hadamard theorem, we obtain an exact (in a certain sense) inequality for the best polynomial approximations of an analytic function f(z) from the Hardy space H p, p 1, in disks of radii , 1, and 2, 0 < 1 < < 2 < 1.  相似文献   

17.
In the literature (see [5, 6, 8]) there are two families of spaces called Kondratiev spaces: (c)± and (S c)± for 0 1. We investigate the relation between the spaces and show that they are topologically isomorphic when (d) L2 (d) (d) is the underlying Gel'fand triple for (c)±. In this case we also give the explicit relation between the S-transform and -transform on (c)-1 and (S c)-1, respectively.  相似文献   

18.
We prove that ifn2 and , are two given vectors inZ n, then there exists a matrix function inL n×n (T) which has a right Wiener-Hopf factorization inL 2 with the partial indices and a left Wiener-Hopf factorization inL 2 with the partial indices .  相似文献   

19.
It was previously shown that every special radical classR of rings induces a special radical class R of -rings. Amongst the special radical classes of near-rings, there are some, called the -special radical classes, which induce, special radical classes of -near-rings by the same procedure as used in the ring case. The -special radicals of near-rings possess very strong hereditary properties. In particular, this leads to some new results for the equiprime andI 3 radicals.  相似文献   

20.
Families of pairs of matrix-valued meromorphic functions (,P) depending on two parameters andP are introduced. They are the projective analogues of classes of functions studied in [1] and include as special cases the projective Schur, Nevanlinna and Carathéodory classes. A two sided Nevanlinna-Pick interpolation problem is defined and solved in (,P), using the fundamental matrix inequality method.  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号