On vector valued difference sequence spaces
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Abstract
In the present paper, using the notion of difference sequence spaces, we introduce new kind of Cesàro summable difference sequence spaces of vector valued sequences with the aid of paranorm and modulus function. In addition, we extend the notion of statistical convergence to introduce a new sequence space $SC_1(\Delta,q)$ which coincides with $C_1^1(X,\Delta,\phi,\lambda,q)$ (one of the above defined Cesàro summable difference sequence spaces) under the restriction of bounded modulus function.
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References
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