A NEW APPROACH TO STATISTICAL RIEMANN-STIELTJES INTEGRALS

被引：1

作者：

Jena, Bidu Bhusan ^{[1
]}

Paikray, Susanta Kumar ^{[2
]}

机构：

[1] Sri Sri Univ, Fac Sci Math, Cuttack 754006, Orissa, India

[2] Veer Surendra Sai Univ Technol, Dept Math, Burla 768018, Orissa, India

来源：

MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 02期

关键词：

Riemann-Stieltjes integral; statistical Riemann-Stieltjes integral; deferred Norlund mean; distribution functions; random variables; PROBABILITY CONVERGENCE; DEFERRED CESARO; KOROVKIN; PRODUCT;

D O I：

10.18514/MMN.2023.3903

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper aims to introduce various concepts of statistical Riemann-Stieltjes sum via the deferred Norlund summability mean for the sequence of functions as well as the se-quence of distribution functions. We first establish some fundamental limit theorems for statist-ical Riemann-Stieltjes sum in the sequence space. Then over the probability sequence space, we establish some more advanced results. Finally, over both the spaces we establish some inclusion theorems via our proposed mean in association with statistical Riemann-Stieltjes integral.

引用

页码：789 / 803

页数：15

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