Variation of an element in the matrix of the first difference operator and matrix transformations.
We give some new properties of the space and we apply them to the σ-core theory. These results generalize those by Choudhary and Yardimci.
In this paper we define new sequence spaces using the concepts of strong summability and boundedness of index of -th order difference sequences. We establish sufficient conditions for these spaces to reduce to certain spaces of null and bounded sequences.
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