Deferred Nörlund statistical convergence in probability, mean and distribution for sequences of random variables

Journal of Nonlinear Sciences and Applications Pub Date : 2022-06-01 DOI:10.22436/jnsa.016.01.04

K. Raj, Swati Jasrotia, R. Saadati

引用次数: 0

Abstract

We introduce and study deferred N\"{o}rlund statistical convergence in probability, mean of order $r,$ distribution, and study the interrelation among them. Based upon the proposed method to illustrate the findings, we present new Korovkin type theorems for the sequence of random variables via deferred N\"{o}rlund statistically convergence and present compelling examples to demonstrate the effectiveness of the results.

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递延Nörlund随机变量序列的概率、均值和分布的统计收敛

我们引入并研究了递延N\ {o}rlund统计收敛在概率、r阶均值、分布等方面的关系，并研究了它们之间的相互关系。基于所提出的方法来说明研究结果，我们通过递延N\ {o}rlund统计收敛给出了随机变量序列的新的Korovkin型定理，并给出了令人信服的例子来证明结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

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期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.