The Abel-type transformations into .
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.
The purpose of this paper is to introduce some new generalized double difference sequence spaces using summability with respect to a two valued measure and an Orlicz function in -normed spaces which have unique non-linear structure and to examine some of their properties. This approach has not been used in any context before.