Journal of Inequalities and Applications (Jan 2010)
Generalized Vector-Valued Sequence Spaces Defined by Modulus Functions
Abstract
We introduce the vector-valued sequence spaces , , and , and , using a sequence of modulus functions and the multiplier sequence of nonzero complex numbers. We give some relations related to these sequence spaces. It is also shown that if a sequence is strongly -Cesàro summable with respect to the modulus function then it is -statistically convergent.