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Characterization of Some Lacunary $\chi^{2}_{A_{uv}}-$ Convergence of Order $\alpha$ with $p-$ Metric Defined by $mn$ Sequence of Moduli Musielak |
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PP: 119-126 |
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doi:10.18576/amisl/040304
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Author(s) |
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Deepmala Rai,
Lakshmi Narayan Mishra,
N. Subramanian,
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Abstract |
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| We study some connections between lacunary strong $\chi^{2}_{A_{uv}}-$convergence with respect to a $mn$ sequence of moduli Musielak and lacunary $\chi^{2}_{A_{uv}}-$ statistical convergence, where $A$ is a sequence of four dimensional matrices $A\left(uv\right)=\left(a_{k_{1}\cdots k_{r}\ell_{1}\cdots \ell_{s}}^{m_{1}\cdots m_{r}n_{1}\cdots n_{s}}\left(uv\right)\right)$ of complex numbers. |
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