On Statistical Riemann-Stieltjes Integrablility and Deferred Cesàro Summability

被引：0

作者：

Jena, Bidu Bhusan ^{[1
]}

Paikray, Susanta Kumar ^{[2
]}

Mursaleen, M. ^{[3
,4
]}

机构：

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

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

[3] China Med Univ Taiwan, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[4] Aligarh Muslim Univ, Dept Math, Aligarh, India

来源：

CONTEMPORARY MATHEMATICS | 2024年 / 5卷 / 03期

关键词：

Riemann-Stieltjes integral; statistical Riemann-Stieltjes integral; deferred Ces & agrave; ro mean; distribution functions; random variables; PROBABILITY CONVERGENCE; CESARO; SEQUENCES;

D O I：

10.37256/cm.5320242466

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first introduce and study the notion of statistical Riemann-Stieltjes sum for the sequence of functions and establish some elementary results based on this notion. Subsequently, we extend this notion to the probability space and demonstrate some new results for sequence of distribution functions. Furthermore, we suggest the deferred Ces & agrave;ro summability method for Riemann-Stieltjes sum. We then establish various inclusion theorems based on our proposed methods in association with the Riemann-Stieltjes sum for the sequence of usual functions as well as distribution functions in R-n.

引用

页码：2782 / 2800

页数：19

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