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arXiv · 1307.6208

Difference Sequence Spaces Derived by Using Generalized Means

Atanu Manna·Amit Maji·P. D. Srivastava
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Abstract

This paper deals with new sequence spaces $X(r, s, t ;\Delta) $ for $X\in \{l_\infty, c, c_0\}$ defined by using generalized means and difference operator. It is shown that these spaces are complete normed linear spaces and the spaces $X(r, s, t ;\Delta)$ for $X\in \{c, c_0\}$ have Schauder basis. Furthermore, the $\alpha$-, $\beta$-, $\gamma$- duals of these sequence spaces are computed and also established necessary and sufficient conditions for matrix transformations from $X(r, s, t ;\Delta)$ to $X$.

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Atanu Manna, Amit Maji, P. D. Srivastava. 2013-07-19. Difference Sequence Spaces Derived by Using Generalized Means. https://doi.org/10.1016/j.joems.2014.02.010

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