Summability factors between the absolute Cesàro methods

G. Canan HAZAR GÜLEÇ

doi:https://doi.org/10.16984/saufenbilder.470493

Article Details

Summability factors between the absolute Cesàro methods

Authors:

G. Canan HAZAR GÜLEÇ

Main Topics:

Mathematics

Journal:

Sakarya University Journal of Science 2018 Vol.22 Issue 6, pp.1923-1926

Document Type:

Article

Publication Date:

11/2018

Document Language:

English

Document ID (Org No.):

2000557534

DOI:

https://doi.org/10.16984/saufenbilder.470493

Abstract:

 

If Σε_{n}x_{n} is summable by the method Y whenever Σx_{n} is summable by the method X, then we say that the factor ε=(ε_{n}) is of type (X,Y) and denote by (X,Y). In this study we characterize the sets (|C,α|_{k},|C,-1|) , k>1 and (|C,-1|,|C,α|_{k}) , k≥1 for α>-1. Also, in the special case, we give some inclusion relations between methods, which completes some open problems in literature.

Article Details

Summability factors between the absolute Cesàro methods

Authors: G. Canan HAZAR GÜLEÇ

Main Topics: Mathematics

Journal: Sakarya University Journal of Science 2018 Vol.22 Issue 6, pp.1923-1926

Document Type: Article

Publication Date: 11/2018

Document Language: English

Document ID (Org No.): 2000557534

DOI: https://doi.org/10.16984/saufenbilder.470493

Issues

Authors:

G. Canan HAZAR GÜLEÇ

Main Topics:

Mathematics

Journal:

Sakarya University Journal of Science 2018 Vol.22 Issue 6, pp.1923-1926

Document Type:

Article

Publication Date:

11/2018

Document Language:

English

Document ID (Org No.):

2000557534

DOI:

https://doi.org/10.16984/saufenbilder.470493