• Dr. INDU BALA

The purpose of this paper is to introduce and study a new sequence space that is ∆^r-absolutely almost summable with respect to a modulus function in seminormed complex linear space. Some topological results and certain inclusion relations on this space have been discussed. Furthermore, we construct the sequence space that is ∆^r-absolutely almost summable with respect to composite modulus function in seminormed complex linear space and give some inclusion relations on this space.

Difference sequence space, modulus function, topological linear space, absolute almost convergence.

"Absolutely almost summable difference sequences of order r with respect to a modulus function in seminormed space", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.8, Issue 4, page no.17-23, April-2021, Available :http://www.jetir.org/papers/JETIR2104430.pdf

"Absolutely almost summable difference sequences of order r with respect to a modulus function in seminormed space", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.8, Issue 4, page no. pp17-23, April-2021, Available at : http://www.jetir.org/papers/JETIR2104430.pdf