Abstract
In this paper. we continue to investigate in line of the recent work of Sencimen and Pehlivan, Das and Savas and consider the notion of \(\mathcal {I}\)-statistical order pre Cauchy condition related to a new type of order convergence, namely \(\mathcal {I}\)-statistical order convergence in Riesz spaces and establish some of its basic properties. We mainly investigate their inter-relationship.
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Acknowledgements
The first author is thankful to TUBA, Tukish Academy of Sciences for arranging a visit during which this work was done. The first author is also thankful to SERB, DST, New Delhi for granting a research project No. SR/S4/MS:813/13 during the tenure of which this work was done.
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Das, P., Savas, E. (2020). On \(\mathcal {I}\)-Statistically Order Pre Cauchy Sequences in Riesz Spaces. In: Roy, P., Cao, X., Li, XZ., Das, P., Deo, S. (eds) Mathematical Analysis and Applications in Modeling. ICMAAM 2018. Springer Proceedings in Mathematics & Statistics, vol 302. Springer, Singapore. https://doi.org/10.1007/978-981-15-0422-8_12
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