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Randomness of lacunary statistical acceleration convergence of \(\Gamma^{3}\) over \(p\)-metric spaces defined by Orlicz functions - MaRDI portal

Randomness of lacunary statistical acceleration convergence of \(\Gamma^{3}\) over \(p\)-metric spaces defined by Orlicz functions (Q2224203)

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Randomness of lacunary statistical acceleration convergence of \(\Gamma^{3}\) over \(p\)-metric spaces defined by Orlicz functions
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    Randomness of lacunary statistical acceleration convergence of \(\Gamma^{3}\) over \(p\)-metric spaces defined by Orlicz functions (English)
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    3 February 2021
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    Summary: In this article the notion of randomness of lacunary statistical acceleration convergence of \(\Gamma^{3}\) over \(p\)-metric spaces defined by sequence of Orlicz has been introduced and some theorems related to that concept have been established using the four dimensional matrix transformations. The authors' construction with new definitions and also new statement of theorems of proofs are formulated.
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    analytic sequence
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    double sequences
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    \(\Gamma^{3}\) space
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    Musielak-Orlicz function
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    random \(p\)-metric space
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    lacunary sequence
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    statistical convergence
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    converging faster
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    converging at the same rate
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    acceleration field
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    triple natural density
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