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Statistical convergence of functional sequences - MaRDI portal

Statistical convergence of functional sequences (Q908247)

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scientific article; zbMATH DE number 6538951
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Statistical convergence of functional sequences
scientific article; zbMATH DE number 6538951

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    Statistical convergence of functional sequences (English)
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    4 February 2016
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    The authors study the statistical convergence in Lebesgue spaces \(L_p\). They introduce the concept of statistical fundamentality in \(L_p\) and prove that statistical fundamentality and statistical convergence are equivalent in \(L_p\). They also prove that analogues of some Tauberian theorems in [\textit{J. A. Fridy}, Analysis 5, 301--313 (1985; Zbl 0588.40001)] are valid in their case.
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    statistical convergence
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    Lebesgue space
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    Tauberian theorems
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