共查询到20条相似文献,搜索用时 15 毫秒
1.
《Applied mathematics and computation》2003,134(2-3):319-322
The well-known Hölder inequality is generalized and refined, a condition at which the equality holds is obtained. 相似文献
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N. A. Shirokov 《Journal of Mathematical Sciences》1987,37(5):1306-1322
Let Γ be a closed, Jordan, rectifiable curve, whose are length is commensurable with its subtending chord, leta ε int Γ, and let Rn(a) be the set of rational functions of degree ≤n, having a pole perhaps only at the pointa. Let Λα(Γ), 0 < α < 1, be the Hölder class on Γ. One constructs a system of weights γn(z) > 0 on Γ such that f∈Λα(Γ) if and only if for any nonnegative integer n there exists a function Rn, Rn ε Rn(a) such that ¦f(z) ? Rn(z)¦ ≤ cf·γn(z), z ε Γ. It is proved that the weights γn cannot be expressed simply in terms of ρ 1 + /n(z) and ρ 1 - /n(z), the distances to the level lines of the moduli of the conformal mappings of ext Γ and int Γ on \(\mathbb{C}\backslash \mathbb{D}\) . 相似文献
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M. B. Karmanova 《Doklady Mathematics》2017,95(2):118-121
Area formulas for classes of Hölder mappings of Carnot groups and the corresponding graph mappings are obtained. The calculation of a nonintrinsic measure is exemplified. 相似文献
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In questo lavoro chiariamo il ruolo che la θ-tightness (introdotta dagli autori in [2]) ha nel determinare alcune estensioni di sottoinsiemi di uno spazio topologico. 相似文献
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An example is given to show that there exists a generalized topological space which is irreducible but not β-connected. This gives an answer to Question 2.8 in [6]. Besides, some characterizations of β-connectedness are obtained. 相似文献
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LU Wenxuan Department of Mathematics Tsinghua University Beijing China 《中国科学A辑(英文版)》2006,49(1):54-65
Hodge integrals over moduli spaces of curves appear naturally during the localization procedure in computation of Gromov-Witten invariants. A remarkable formula of Marino-Vafa expresses a generation function of Hodge integrals via some combinatorial and algebraic data seemingly unrelated to these apriori algebraic geometric objects. We prove in this paper by directly expanding the formula and estimating the involved terms carefully that except a specific type all the other Hodge integrals involving up to three Hodge classes can be calculated from this formula. This implies that amazingly rich information about moduli spaces and Gromov-Witten invariants is encoded in this complicated formula. We also give some low genus examples which agree with the previous results in literature. Proofs and calculations are elementary as long as one accepts Mumford relations on the reductions of products of Hodge classes. 相似文献
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Jing-song CHAI Xu-ri CONG Center of Mathematical Sciences Zhejiang University Hangzhou China 《中国科学A辑(英文版)》2007,50(7):951-956
Let F be a non-archimedean local field of characteristic 0 and(?)a nontrivial additive character.Weil first defined the Weil indexγ(a,(?))(a∈F~*)in his famous paper,from which we know thatγ(a,(?))γ(b,(?))=γ(ab,(?))γ(1,(?))(a,b)andγ(a,(?))~4 =(-1,-1),where(a,b)is the Hilbert symbol for F.The Weil index plays an important role in the theory of theta series and in the general representation theory.In this paper,we establish an identity relating the Weil indexγ(a,(?))and the Gauss sum. 相似文献
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A note on the uniqueness theorem of meromorphic mappings 总被引:1,自引:0,他引:1
YAN Qiming & CHEN Zhihua Department of Mathematics Tongji University Shanghai China 《中国科学A辑(英文版)》2006,49(3):360-365
In this article, some uniqueness theorems of meromorphic mappings are proved. 相似文献
12.
Suppose that E
1 and E
2 are elliptic curves defined over ℚ and p is an odd prime where E
1 and E
2 have good ordinary reduction. In this paper, we generalize a theorem of Greenberg and Vatsal [3] and prove that if E
1[p
i
] and E
2[p
i
] are isomorphic as Galois modules for i = μ(E
1), then μ(E
1) ≤ μ(E
2). If the isomorphism holds for i = μ(E
1) + 1, then both the curves have same μ-invariants. We also discuss one numerical example. 相似文献
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A new cut selection criterion for Benders’ cuts is proposed and computationally analyzed. The results show that the new criterion is more robust—and often considerably faster—than the standard ones. 相似文献
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Maria Hermínia de Paula Leite Mello Mário Olivero Marques da Silva 《manuscripta mathematica》2000,101(2):191-198
In this paper we consider the question of the existence of a nonstable vector bundle monomorphism u:α→β over a closed, connected and smooth manifold M, when dimension of α= 3, dimension of β= dimension of M=n≡ 0(4). The singularity method provides the full obstruction to this problem and under some homological hypothesis we can compute it in terms of well known invariants. Received: 31 May 1999 相似文献
15.
In this note, we first investigate the degrees of irreducible π-Brauer characters of a finite π-separable group G. Then we relate degrees of irreducible π-Brauer characters to class lengths of π-regular elements of G.
Received: 4 April 2008 相似文献
16.
Jun Zhang 《Annals of the Institute of Statistical Mathematics》2007,59(1):161-170
The family of α-connections ∇(α) on a statistical manifold equipped with a pair of conjugate connections and is given as . Here, we develop an expression of curvature R
(α) for ∇(α) in relation to those for . Immediately evident from it is that ∇(α) is equiaffine for any when are dually flat, as previously observed in Takeuchi and Amari (IEEE Transactions on Information Theory 51:1011–1023, 2005). Other related formulae are also developed.
The work was conducted when the author was on sabbatical leave as a visiting research scientist at the Mathematical Neuroscience
Unit, RIKEN Brain Science Institute, Wako-shi, Saitama 351-0198, Japan. 相似文献
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We extend the well-known and important fact that “a topological space X is compact if and only if every ideal in C(X) is fixed”, to more general topological spaces. Some interesting consequences are also observed. In particular, the maximality of compact Hausdorff spaces with respect to the property of compactness is generalized and the topological spaces with this generalized property are characterized. 相似文献
20.
MA Xiujuan School of Sciences Hebei University of Technology Tianjin China Mathematics Institute Academy of Mathematics Systems Science Chinese Academy of Sciences Beijing China 《中国科学A辑(英文版)》2005,48(8):1144-1151
Noncommutative moment problems for C*-algebras are studied. We generalize a result of Hadwin on tracial states to nontracial case. Our results are applied to obtain simple solutions to moment problems on the square and the circle as well as extend the positive unital functionals from a (discrete) complex group algebra to states on the group C*-algebra. 相似文献