On lacunary I-invariant arithmetic convergence

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DOI:

https://doi.org/10.26637/mjm0902/001

Abstract

In this study, we investigate the notion of lacunary Iσ arithmetic convergence for real sequences and examine relations between this new type convergence notion and the notions of  lacunary invariant arithmetic summability, lacunary strongly q-invariant arithmetic summability and lacunary σ-statistical arithmetic convergence which are defined in this study. Finally, giving the notions of lacunary Iσ arithmetic statistically convergence, lacunary strongly Iσ arithmetic summability, we prove the inclusion relation between them.

Keywords:

Lacunary sequence, statistical convergence, invariant, arithmetic convergence

Mathematics Subject Classification:

40A05 , 40A99 , 46A70 , 46A99
  • Ömer Kişi Faculty of Science, Department of Mathematics, Bartın University, Bartın, Turkey.
  • Pages: 1-11
  • Date Published: 01-04-2021
  • Vol. 9 No. 02 (2021): Malaya Journal of Matematik (MJM)

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Published

01-04-2021

How to Cite

Ömer Kişi. “On Lacunary I-Invariant Arithmetic Convergence”. Malaya Journal of Matematik, vol. 9, no. 02, Apr. 2021, pp. 1-11, doi:10.26637/mjm0902/001.

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Vol. 9 No. 02 (2021): Malaya Journal of Matematik (MJM)

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Copyright (c) 2021 Ömer Kişi

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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