II\mathcal{I}-Cesaro Summability of a Sequence of Order αα\alpha of Random Variables in Probability

Ömer KİŞİ; Erhan GÜLER

doi:https://doi.org/10.33401/fujma.480808

Article Details

II\mathcal{I}-Cesaro Summability of a Sequence of Order αα\alpha of Random Variables in Probability

Authors:

Ömer KİŞİ | Erhan GÜLER

Publisher:

Fuat USTA

Main Topics:

Mathematics

Journal:

Fundamental Journal of Mathematics and Applications 2018 Vol.1 Issue 2, pp.157-161

Document Type:

Article

Publication Date:

12/2018

Document Language:

English

Document ID (Org No.):

2000422200

pISSN:

2645-8845

DOI:

https://doi.org/10.33401/fujma.480808

Abstract:

 


In this paper, we define four types of convergence of a sequence of random variables, namely, II\mathcal{I}-statistical convergence of order αα \alpha , II\mathcal{I}-lacunary statistical convergence of order αα\alpha , strongly II\mathcal{I}-lacunary convergence of order αα\alpha  and strongly II \mathcal{I}-Cesaro summability of order αα\alpha  in probability where 0<α<10<α<1 0<\alpha <1. We establish the connection between these notions.

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Article Details

II\mathcal{I}-Cesaro Summability of a Sequence of Order αα\alpha of Random Variables in Probability

Authors: Ömer KİŞİ | Erhan GÜLER

Publisher: Fuat USTA

Main Topics: Mathematics

Journal: Fundamental Journal of Mathematics and Applications 2018 Vol.1 Issue 2, pp.157-161

Document Type: Article

Publication Date: 12/2018

Document Language: English

Document ID (Org No.): 2000422200

pISSN: 2645-8845

DOI: https://doi.org/10.33401/fujma.480808

Issues

Authors:

Ömer KİŞİ | Erhan GÜLER

Publisher:

Fuat USTA

Main Topics:

Mathematics

Journal:

Fundamental Journal of Mathematics and Applications 2018 Vol.1 Issue 2, pp.157-161

Document Type:

Article

Publication Date:

12/2018

Document Language:

English

Document ID (Org No.):

2000422200

pISSN:

2645-8845

DOI:

https://doi.org/10.33401/fujma.480808