Statistical Convergence of Double Sequences in Locally Solid Riesz Spaces

By Syed Abdul Mohiuddine, Abdullah Alotaibi, Mohammad Mursaleen. 2012

75 citations recorded by the source corpus.

Recently, the notion of statistical convergence is studied in a locally solid Riesz space by Albayrak and Pehlivan (2012). In this paper, we define and study statistical -convergence, statistical -Cauchy and -convergence of double sequences in a locally solid Riesz space.

Subfields: Applied Mathematics, Numerical Analysis, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/8801911a909daa9e2061139c959764da40ff8b72

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In Applied Mathematics

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Citations in the corpus

• Some Cesaro-Type Summability Spaces of Order α and Lacunary Statistical Convergence of Order α (2014, background): “([23],[24],[25]), Rath and Tripathy [28], Salat [30] and many others.”
• Lacunary statistical convergence and strongly lacunary summable functions of order α (2017, unknown): “[19], Mursaleen and Alotaibi [20], Nuray [22], Rath and Tripathy [25], Šalát [26], and Srivastava et al.”