Lacunary I-invariant convergence

Uğur Ulusu; Fatih Nuray

doi:10.17776/csj.689877

EN

Lacunary I-invariant convergence

Abstract

In this study, firstly, we introduce the notion of lacunary invariant uniform density of any subset E of the set N (the set of all natural numbers). Then, as associated with this notion, we give the definition of lacunary I_σ-convergence for real sequences. Furthermore, we examine relations between this new type convergence notion and the notions of lacunary invariant summability, lacunary strongly q-invariant summability and lacunary σ-statistical convergence which are studied in this area before. Finally, introducing the notions of lacunary I_σ^*-convergence and I_σ-Cauchy sequence, we give the relations between these notions and the notion of lacunary I_σ-convergence.

Keywords

Supporting Institution

The Scientific Research Project Fund of Afyon Kocatepe University

Project Number

16.KARİYER.62

Thanks

We would like to thank "The Scientific Research Project Fund of Afyon Kocatepe University" for its support with this project, project number 16.KARİYER.62.

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Uğur Ulusu ^*
0000-0001-7658-6114
Türkiye

Fatih Nuray
0000-0003-0160-4001
Türkiye

Publication Date

September 30, 2020

Submission Date

February 16, 2020

Acceptance Date

June 26, 2020

Published in Issue

Year 2020 Volume: 41 Number: 3

DOI

https://doi.org/10.17776/csj.689877

IZ

https://izlik.org/JA59BX99CG

Cite

RIS / Bibtex

APA

Ulusu, U., & Nuray, F. (2020). Lacunary I-invariant convergence. Cumhuriyet Science Journal, 41(3), 617-624. https://doi.org/10.17776/csj.689877

Lacunary I-invariant convergence

Öz

Lacunary I-invariant convergence

Abstract

Keywords

Supporting Institution

Project Number

Thanks

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

Lacunary ℐ -Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces

Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences

sequence of the hyperbolic k-Padovan quaternions

Lacunary I^-Yakınsaklık ve Lacunary I^-Cauchy Dizisi

Logaritmik İdeal Yakınsaklık

Öz

Lacunary I-invariant convergence

Abstract

Keywords

Supporting Institution

Project Number

Thanks

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

Lacunary ℐ -Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces

Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences

sequence of the hyperbolic k-Padovan quaternions

Lacunary I^*-Yakınsaklık ve Lacunary I^*-Cauchy Dizisi

Logaritmik İdeal Yakınsaklık

Lacunary I^-Yakınsaklık ve Lacunary I^-Cauchy Dizisi