杂志简介:《数学学报》杂志经新闻出版总署批准,自1936年创刊,国内刊号为11-2038/O1,是一本综合性较强的科学期刊。该刊是一份双月刊,致力于发表科学领域的高质量原创研究成果、综述及快报。主要栏目:研究报告、文献综述、简报、专题研究
作者:Sadik; DELEN; Ismail; Naci; CANGUL 刊期:2019年第02期
The authors recently defined a new graph invariant denoted by Ω(G) only in terms of a given degree sequence which is also related to the Euler characteristic. It has many important combinatorial applications in graph theory and gives direct information compared to the better known Euler characteristic on the realizab...
作者:Jia; Pan; XU; Li; Xin; ZHANG 刊期:2019年第02期
In this paper, motived by the notion of independent and identically distributed random variables under the sub-linear expectation initiated by Peng, we establish a three series theorem of independent random variables under the sub-linear expectations. As an application, we obtain the Marcinkiewicz’s strong law of la...
作者:Sonia; ACINAS; Sergio; FAVIER; Felipe; ZO 刊期:2019年第02期
In this paper we pursue the study of the best approximation operator extended from L^Φ to L~φ, where φ denotes the derivative of the function Φ. We get pointwise convergence for the coefficients of the extended best approximation polynomials for a wide class of function f, closely related to the Calder′on–Zygmund c...
作者:He; Guo; LIU; Yu; Lei; WANG; Ji; Ping; ZHANG 刊期:2019年第02期
Let G be an extension of Q by a direct sum of r copies of Q.(1) If G is abelian, then G is a direct sum of r + 1 copies of Q and Aut G = GL(r + 1, Q);(2) If G is non-abelian, then G is a direct product of an extraspecial Q-group E and m copies of Q, where E/ζ E is a linear space over Q with dimension 2 n and m + 2 n ...
作者:Yi; TAO; Zhi; Qi; CHEN; Yan; WANG 刊期:2019年第02期
Balinsky–Novikov superalgebras were introduced by Balinsky for constructing super-Virasoro type Lie superalgebras. In this paper, we give sufficient and necessary conditions for a Lie superalgebra generalized by a Balinsky–Novikov superalgebra with dimension 2|2 to be a quadratic Lie superalgebra.
作者:Ran; LI; Yu; Feng; LU 刊期:2019年第02期
In this paper, we study radial operators in Toeplitz algebra on the weighted Bergman spaces over the polydisk by the(m, λ)-Berezin transform and find that a radial operator can be approximated in norm by Toeplitz operators without any conditions. We prove that the compactness of a radial operator is equivalent to the...
作者:Daciberg; GONCALVES; Peter; WONG 刊期:2019年第02期
Let f, g: X → Y be maps from a compact infra-nilmanifold X to a compact nilmanifold Y with dim X ≥ dim Y. In this note, we show that a certain Wecken type property holds, i.e., if the Nielsen number N(f, g) vanishes then f and g are deformable to be coincidence free. We also show that if X is a connected finite com...
作者:Qing; Yue; ZHANG; Wen; Chang; SUN 刊期:2019年第02期
In this paper, we study the reconstruction of spline functions from their nonuniform samples. We investigate the existence and uniqueness of the solution of the following problem: for given data {(x_n, y_n) : n ∈ Z}, find a cardinal spline f(x), of a given degree, satisfying yn = f(x_n), n ∈ Z.Several necessary and...
作者:Qi; YAN; Jian; Dong; YIN 刊期:2019年第02期
Let X be a compact metric space, F : X ×R → X be a continuous flow and x ∈ X a proper quasi-weakly almost periodic point, that is, x is quasi-weakly almost periodic but not weakly almost periodic. The aim of this paper is to investigate whether there exists an invariant measure generated by the orbit of x such that...
作者:Hai; Qing; ZHAO; Yuan; LI; Yan; Meng; ZHAO 刊期:2019年第02期
Empirical likelihood inference for parametric and nonparametric parts in functional coefficient ARCH-M models is investigated in this paper. Firstly, the kernel smoothing technique is used to estimate coefficient function δ(x). In this way we obtain an estimated function with parameter β.Secondly, the empirical likel...
刊期:2019年第02期
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