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Statistical summability through a lacunary sequence in locally solid Riesz spaces
Journal article   Open access  Peer reviewed

Statistical summability through a lacunary sequence in locally solid Riesz spaces

Syed Abdul Mohiuddine and Mohammed A. Alghamdi
Journal of inequalities and applications, Vol.2012(1), pp.1-225
09/10/2012
DOI: https://doi.org/10.1186/1029-242X-2012-225

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we introduce the concepts of lacunary statistical tau-convergence, lacunary statistically tau-bounded and lacunary statistically tau-Cauchy in the framework of locally solid Riesz spaces. We also define a new type of convergence, that is, S*(tau)-convergence in this setup and prove some interesting results related to these notions.
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https://doi.org/10.1186/1029-242X-2012-225View
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