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

Volume 16, Issue 1, pp 41--50 http://dx.doi.org/10.22436/jnsa.016.01.04

Publication Date: March 17, 2023 Submission Date: May 11, 2022 Revision Date: February 10, 2023 Accteptance Date: March 01, 2023

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Authors

K. Raj - School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J \(\&\) K, India. S. Jasrotia - School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J \(\&\) K, India.

Abstract

We introduce and study deferred Nörlund 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 Nörlund statistically convergence and present compelling examples to demonstrate the effectiveness of the results.

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Keywords

• Probability convergence
• Deferred Nörlund
• Mean convergence
• Distribution convergence
• Statistical convergence

MSC

•  40A05
•  40A30

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