The Generalized Difference of $\chi^{2}$ over $p-$ metric spaces defined by Musielak
Keywords:
analytic sequence, double sequences, $\chi^{2}$ space, difference sequence space, Musielak - modulus function, $p-$ metric space, Lacunary sequence, ideal
Abstract
In this paper, we define the sequence spaces: $\chi^{2qu}_{f\mu}\left(\Delta\right)$ and $\Lambda^{2qu}_{f\mu}\left(\Delta\right),$ where for any sequence $x=\left(x_{mn}\right),$ the difference sequence $\Delta x$ is given by $\left(\Delta x_{mn}\right)_{m,n=1}^{\infty}=\left[\left(x_{mn}-x_{mn+1}\right)-\left(x_{m+1n}-x_{m+1n+1}\right)\right]_{m,n=1}^{\infty}.$ We also study some properties and theorems of these spaces.Downloads
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Published
2014-02-24
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