粗糙λ-统计和ρ Cauchy序列在三重序列空间上收敛的Bernstein算子

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2018-01-04 DOI:10.18311/JIMS/2018/15896

S. Velmurugan, N. Subramanian

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引用次数: 7

摘要

本文利用自然密度的概念，引入了粗糙λ−统计和ρ−Cauchy三序列空间的Bernstein多项式的概念。我们定义了三重序列空间的粗糙统计极限点的Bernstein多项式集，并获得了与该集相关的λ−统计收敛准则。我们检验了粗糙λ−统计的Bernstein多项式集与ρ−Cauchy三重序列之间的关系。

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Bernstein Operator of Rough λ-statistically and ρ Cauchy Sequences Convergence on Triple Sequence Spaces

In this article, using the concept of natural density, we introduce the notion of Bernstein polynomials of rough λ−statistically and ρ−Cauchy triple sequence spaces. We deﬁne the set of Bernstein polynomials of rough statistical limit points of a triple sequence spaces and obtain to λ−statistical convergence criteria associated with this set. We examine the relation between the set of Bernstein polynomials of rough λ−statistically and ρ− Cauchy triple sequences.

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.