共查询到19条相似文献,搜索用时 93 毫秒
1.
This article investigates the convergence and growth of multiple Dirichlet series. The Valiron formula of Dirichlet series is extended to n-tuple Dirichlet series and an equivalence relation between the order of n-tuple Dirichlet series and its coefficients and exponents is obtained. 相似文献
2.
YuGuohua 《高校应用数学学报(英文版)》2004,19(1):67-76
The concept of convex type function is introduced in this paper,from which a kind of convex-decomposition approach is proposed. As one of applications of this approach, the approximation of the convex type function by the partial sum of its Fourier series is investigated. Moreover,the order of approximation is described with the 2th continuous modulus. 相似文献
3.
Zhong Kui LIU 《数学学报(英文版)》2006,22(4):989-998
Let R be a ring and S a cancellative and torsion-free monoid and 〈 a strict order on S. If either (S,≤) satisfies the condition that 0 ≤ s for all s ∈ S, or R is reduced, then the ring [[R^S,≤]] of the generalized power series with coefficients in R and exponents in S has the same triangulating dimension as R. Furthermore, if R is a PWP ring, then so is [[R^S,≤]]. 相似文献
4.
The Dirichlet series of zero order in the half plane is studied and two theorems on their growth are obtained in this paper. 相似文献
5.
DEFICIENT FUNCTIONS OF RANDOM DIRICHLET SERIES 总被引:1,自引:0,他引:1
In this article, the uniqueness theorem of Dirichlet series is proved. Then the random Dirichlet series in the right half plane is studied, and the result that the random Dirichlet series of finite order has almost surely(a.s.) no deficient functions is proved. 相似文献
6.
This paper investigates the maximal and minimal solutions of initial value problems for second order nonlinear integro-differential equations of Volterra type on a finite interval in a Banach space by establishing a comparison result and using the monotone iterative technique. 相似文献
7.
马忠泰 《Annals of Differential Equations》2004,20(2):140-144
The solutions of linear system of elliptic type equations with first order isdiscussed by using the method of several complex analysis and, a series of newextended results of the solutions for the system of elliptic type are obtained. 相似文献
8.
In this paper, the weak type LlogL estimate for the multilinear fractional commutator is obtained by introducing a new kind of maximal operator of the multilinear fractional order associated with the mean Luxumburg norm and using the technique of sharp function. 相似文献
9.
In this paper, we consider Carlson type inequalities and discuss their possible improvement. First, we obtain two different types of generalizations of discrete Carlson's inequality by using the Hlder inequality and the method of real analysis, then we combine the obtained results with a summation formula of infinite series and some Mathieu type inequalities to establish some improvements of discrete Carlson's inequality and some Carlson type inequalities which are equivalent to the Mathieu type inequalities. Finally, we prove an integral inequality that enables us to deduce an improvement of the Nagy-Hardy-Carlson inequality. 相似文献
10.
In this paper we construct a new operator Hn,r(N,B) (f; z) by means of the partial sums S(N,S) (f; z) of Neumann-Bessel series. The operator converges uniformly to any fixed continuous function f(z) on the unit circle | z |= 1 and has the best approximation order for f(z) on | z |= 1. 相似文献
11.
We study the maximal term of the Hadamard composition of Dirichlet series with real exponents. We obtain a lower estimate for the sum of a Dirichlet series over a curve arbitrarily approaching the convergence line. 相似文献
12.
13.
This article investigates the convergence and growth of multiple Dirichlet series. The Valiron formula of Dirichlet series is extended to n-tuple Dirichlet series and an equivalence relation between the order of n-tuple Dirichlet series and its coefficients and exponents is obtained. 相似文献
14.
基于奇异谱分析的降噪方法及其在计算最大Liapunov指数中的应用 总被引:1,自引:0,他引:1
基于奇异谱分析对信号的自适应滤波特性,提出了一种降低混沌信号噪声的算法,这个算法首先求得信号的各阶经验正交函数(EOF)和主分量(PC),然后用经验正交函数和主分量重构信号,根据重构信号的奇异谱选择最优的重构阶次以获得降噪后的信号.在计算动力系统最大Liapunov指数时,由于噪声的存在会降低计算的精度,因此将提出的降噪算法应用于最大Liapunov指数的计算中.通过对Henon映射和Logistic映射这两个典型混沌系统最大Liapunov指数的计算,结果表明该算法能有效提高最大Liapunov指数计算的精度. 相似文献
15.
Chenglong Fang & Jiang Zhou 《数学研究》2021,54(3):227-249
In this paper, 2-microlocal Herz type Besov and Triebel-Lizorkin spaces with
variable exponents are introduced for the first time. Then, we give characterizations of
these spaces by so-called Peetre's maximal functions. Further, the atomic and molecular decompositions of these spaces are obtained. Finally, using the characterizations of
the spaces by local means and molecular decomposition we obtain the wavelet characterizations. 相似文献
16.
David E. EDMUNDS Alberto FIORENZA Alexander MESKHI 《数学学报(英文版)》2006,22(6):1847-1862
The measure of non-compactness is estimated from below for various operators, including the Hardy-Littlewood maximal operator, the fractional maximal operator and the Hilbert transform, all acting between weighted Lebesgue spaces. The identity operator acting between weighted Lebesgue spaces and also between the counterparts of these spaces with variable exponents is similarly analysed. These results enable the lack of compactness of such operators to be quantified. 相似文献
17.
Nicholas Hamilton 《Journal of Combinatorial Theory, Series A》2002,100(2):265
In a recent paper R. Mathon gave a new construction method for maximal arcs in finite Desarguesian projective planes that generalised a construction of Denniston. He also gave several instances of the method to construct new maximal arcs. In this paper, the structure of the maximal arcs is examined to give geometric and algebraic methods for proving when the maximal arcs are not of Denniston type. New degree 8 maximal arcs are also constructed in PG(2,2h), h5, h odd. This, combined with previous results, shows that every Desarguesian projective plane of (even) order greater that 8 contains a degree 8 maximal arc that is not of Denniston type. 相似文献
18.
B. H. Dong & J. S. Xu 《分析论及其应用》2015,31(4):321-353
In this paper,the authors introduce certain Herz type Hardy spaces with variable exponents and establish the characterizations of these spaces in terms of atomic and molecular decompositions. Using these decompositions,the authors obtain the boundedness of some singular integral operators on the Herz type Hardy spaces with variable exponents. 相似文献
19.
《数学物理学报(B辑英文版)》2015,(3)
This article investigates the growth of multiple Dirichlet series.The order and the type of n-tuple Dirichlet series in C~n are defined and some relations between them and the coefficients and exponents of n-tuple Dirichlet series are obtained,which generalize some results about simple Dirichlet series of Lindelof and Pringsheim. 相似文献