Statistical convergence and ideal convergence for sequences of functions
摘要：
Let I P ( N ) stand for an ideal containing finite sets. We discuss various kinds of statistical convergence and I-convergence for sequences of functions with values in R or in a metric space. For real valued measurable functions defined on a measure space ( X , M , μ ), we obtain a statistical version of the Egorov theorem (when μ ( X ) < ∞). We show that, in its assertion, equi-statistical convergence on a big set cannot be replaced by uniform statistical convergence. Also, we consider statistical convergence in measure and I-convergence in measure, with some consequences of the Riesz theorem. We prove that outer and inner statistical convergences in measure (for sequences of measurable functions) are equivalent if the measure is finite.
展开
关键词：
<a name="mml7">-Uniform convergence Equi-statistical convergence Statistical Egorov's theorem Statistical convergence in measure
DOI：
10.1016/j.jmaa.2006.05.040
被引量：
年份：
2007
Elsevier
(全网免费下载)
Elsevier
国家科技图书文献中心
(权威机构)
掌桥科研
Semantic Scholar
查看更多
Semantic Scholar
(全网免费下载)
dx.doi.org
Ingenta
adsabs.harvard.edu
ResearchGate
ResearchGate
(全网免费下载)
EBSCO
onAcademic
core.ac.uk
mysciencework.com
yadda.icm.edu.pl
pbn.nauka.gov.pl
core.ac.uk
(全网免费下载)
math.uni.lodz.pl
(全网免费下载)
www.socolar.com
Elsevier
(全网免费下载)
Semantic Scholar
(全网免费下载)
ResearchGate
(全网免费下载)
core.ac.uk
(全网免费下载)
math.uni.lodz.pl
(全网免费下载)
通过文献互助平台发起求助，成功后即可免费获取论文全文。
相似文献
参考文献
引证文献
引用走势
辅助模式
引用
文献可以批量引用啦~
欢迎点我试用！
