• Irshad Ahmad Wani
• Sukhdev Singh

In this research paper, we will discuss about the construction of the sequence spaces, viz.,l_∞,c,c_0 sequence spaces. The algebraic and topological properties of these spaces are also discussed in detail. Further, some basic definitions of particular type of sequence spaces are given in this paper. We will also define new sequence spaces as double difference sequence spaces using the Orlicz function and paranorm. We proved that all the new double difference sequence spaces are complete normed spaces. Some inclusion relations have been proved for new sequence spaces

Orlicz function, Double difference sequence spaces, Linear spaces, Normed Linear sequence spaces, paranormed sequence spaces.

"Double Difference Sequence Spaces Defined By Olicz Function", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.8, Issue 6, page no.f580-f588, June-2021, Available :http://www.jetir.org/papers/JETIR2106780.pdf

"Double Difference Sequence Spaces Defined By Olicz Function", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.8, Issue 6, page no. ppf580-f588, June-2021, Available at : http://www.jetir.org/papers/JETIR2106780.pdf