On statistically convergent complex uncertain sequences

IF 1 Q1 MATHEMATICS Carpathian Mathematical Publications Pub Date : 2022-06-17 DOI:10.15330/cmp.14.1.135-146
B. Das, P. Debnath, B. Tripathy
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引用次数: 4

Abstract

In this paper, we extend the study of statistical convergence of complex uncertain sequences in a given uncertainty space. We produce the relation between convergence and statistical convergence in an uncertain environment. We also initiate statistically Cauchy complex uncertain sequence to prove that a complex uncertain sequence is statistically convergent if and only if it is statistically Cauchy. We further characterize a statistically convergent complex uncertain sequence via boundedness and density operator.
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统计收敛的复不确定序列
本文扩展了复不确定序列在给定不确定空间中的统计收敛性的研究。给出了不确定环境下收敛性与统计收敛性的关系。我们还初始化了统计柯西复不确定序列,证明了一个复不确定序列当且仅当它是统计柯西的是统计收敛的。利用有界性和密度算子进一步刻画了统计收敛的复不确定序列。
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来源期刊
CiteScore
1.90
自引率
12.50%
发文量
31
审稿时长
25 weeks
期刊最新文献
Узагальнені обернені нерівності Єнсена-Штеффенсена та пов’язані нерівності Widths and entropy numbers of the classes of periodic functions of one and several variables in the space $B_{q,1}$ Algebras of symmetric and block-symmetric functions on spaces of Lebesgue measurable functions Апроксимаційні характеристики класів типу Нікольського-Бєсова періодичних функцій багатьох змінних у просторі $B_{q,1}$ Збалансовані числа, які є конкатенацією трьох репдиджитів
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