共查询到20条相似文献,搜索用时 15 毫秒
1.
The idea of statistical convergence was first introduced by Fast (1951) but the rapid developments were started after the papers of Šalát (1980) and Fridy (1985). Now a days it has become one of the most active area of research in the field of summability. In this paper we define and study statistical analogue of convergence and Cauchy for double sequences. We also establish the relation between statistical convergence and strongly Cesàro summable double sequences. 相似文献
2.
P. Kostyrko M. Macaj T. Salá t O. Strauch 《Proceedings of the American Mathematical Society》2001,129(9):2647-2654
The set of all statistical limit points of a given sequence is characterized as an -set. It is also characterized in terms of discontinuity points of distribution functions of .
3.
Pratulananda Das Prasanta Malik Ekrem Sava 《Applied mathematics and computation》2009,215(3):1030-1034
We investigate the structure of the set of all statistical limit points of a double sequence and prove certain results, mainly showing that this set can be characterized as a Fσ-set. 相似文献
4.
Statistical Limit Superior and Limit Inferior 总被引:4,自引:0,他引:4
Following the concept of statistical convergence and statistical cluster points of a sequence , we give a definition of statistical limit superior and inferior which yields natural relationships among these ideas: e.g., is statistically convergent if and only if . The statistical core of is also introduced, for which an analogue of Knopp's Core Theorem is proved. Also, it is proved that a bounded sequence that is -summable to its statistical limit superior is statistically convergent.
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6.
A. S. Usachev 《Siberian Mathematical Journal》2008,49(6):1136-1137
Under consideration is the space of almost convergent sequences as well as the operators acting on it. We prove that the space is invariant under the transformations of some class including, in particular, the Hardy and averaging operators. 相似文献
7.
关于Smarandache素数列及其它的行列式 总被引:1,自引:0,他引:1
对任意正整数n≥2,Smarandache下素数列{pp(n))定义为小于或等于n的最大素数;而Smarandache上素数列{Pp(n))表示大于或等于n的最小素数.本文的主要目的是利用初等方法研究Smarandache素数列的性质,并得到由Smarandache素数列组成的行列式的一些性质. 相似文献
8.
Mursaleen 《Journal of Mathematical Analysis and Applications》2004,293(2):532-540
The idea of almost convergence was introduced by Moricz and Rhoades [Math. Proc. Cambridge Philos. Soc. 104 (1988) 283-294] and they also characterized the four dimensional strong regular matrices. In this paper we define the M-core for double sequences and determine those four dimensional matrices which transform every bounded double sequence x=[xjk] into one whose core is a subset of the M-core of x. 相似文献
9.
In this paper, we are mainly concerned with characterizing matrices that map every bounded sequence into one whose Banach core is a subset of the statistical core of the original sequence. 相似文献
10.
刘文 《应用数学学报(英文版)》1996,12(3):328-331
ASTRONGLIMITTHEOREMFORGENERALIZEDCANTOR-LIKE RANDOM SEQUENCESLIUWEN(刘文)(DepartmentofMathematicsandPhysics,HebeiUniversityofTe... 相似文献
11.
Alain Faisant 《Journal of Mathematical Analysis and Applications》2005,306(2):432-439
We introduce a generalization of the notion of sequence of finite variation, using asymptotic density of sets of positive integers. Some approximation results about approaching any sequence by sequences of finite statistical variation are given. 相似文献
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13.
Mursaleen 《Journal of Mathematical Analysis and Applications》2004,293(2):523-531
The idea of almost convergence for double sequences was introduced by Moricz and Rhoades [Math. Proc. Cambridge Philos. Soc. 104 (1988) 283-294] and they also characterized the four dimensional strong regular matrices. In this paper we define and characterize the almost strongly regular matrices for double sequences and apply these matrices to establish a core theorem. 相似文献
14.
Richard F. Patterson 《Southeast Asian Bulletin of Mathematics》2000,24(3):421-429
The definition for the convergence of a double sequence was presented by A. Pringsheim [9]. Recently, the definitions of limit inferior, limit superior, and the core of a double sequence are presented. By using these definitions and the notion of regularity for four-dimensional matrices, an invariant core theorem for double sequences is presented.AMS Subject Classification (2000) primary 40B05 secondary 40C05 相似文献
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16.
In this paper, the sequence spaces e0^τ(u, p) and ec^τ(u, p) of non-absolute type which are the generalization of the Maddox sequence spaces have been introduced and it is proved that the spaces e0^τ(u,p) and ec^τ(u,p) are linearly isomorphic to spaces co(p) and c(p), respectively. Furthermore, the α-, β- and γ-duals of the spaces 0^τ(u,p) and ec^τ(u,p) have been computed and their bases have been constructed and some topological properties of these spaces have been investigated. Besides this, the class of matrices (e0^τ)(u, p) : μ) has been characterized, where μ is one of the sequence spaces l∞, c and co and derives the other characterizations for the special cases of μ. In the last section, Euler Core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core. 相似文献
17.
ZHUANG Guang-ming PENG Zuo-xiang 《高校应用数学学报(英文版)》2014,29(1):44-52
This paper investigates the problem of almost sure limit theorem for the maximum of quasi-stationary sequence based on the result of Turkman and Walker. We prove an almost sure limit theorem for the maximum of a class of quasi-stationary sequence under weak dependence conditions of D(uk,un) and αtn,ln = O(log log n).(1+ε). 相似文献
18.
Zhichao Weng 《Journal of Mathematical Analysis and Applications》2010,367(1):242-248
In this paper, we prove the almost sure limit theorem of the maxima for a kind of strongly dependent stationary Gaussian vector sequences. 相似文献
19.
Anar Adiloglu Nabiev Ekrem Savas Mehmet Gürdal 《Journal of Applied Analysis & Computation》2019,9(2):739-746
In this paper we have introduced the statistically localized sequences in metric spaces and investigate basic properties of the statistically localized sequences. Also we have obtained some necessary and sufficient conditions for a localized sequence to be a statistically Cauchy sequence. It is also defined uniformly statistically localized sequences on metric spaces and its relation with statistically Cauchy sequences has been investigated. 相似文献
20.
Alexey I. Garber 《Functional Analysis and Other Mathematics》2006,1(2):159-173
For a given prime p and positive integer n, we consider the graph G
n
of the difference operator acting on p-ary sequences of length n. We suggest new proofs of some results of V.I. Arnold on the graph G
n
and the complexity of sequences and obtain new results for the length of a maximal cycle in the general case of p-ary sequences. We also provide estimates for the number of complicated sequences.
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