In summability theory, de la Vallée-Poussin’s mean is first used to define the (V, λ)-summability by Leindler [9]. Malkowsky and Savaş [14] introduced and studied some sequence spaces which arise from the notion of generalized de la ValléePoussin mean. Also the (V, λ)-summable sequence spaces have been studied by many authors including [6] and [20]. Recently, there has been a lot of interest in...

In the present paper we introduce and study some lacunary difference bicomplex sequence spaces by means of Orlicz functions. We make an effort to algebraic topological properties these spaces. also show that are complete paranormed Further, inclusion relations between interesting examples established. Finally, prove results on modified complex Banach Algebra in third section paper.

*Correspondence: [email protected] Department of Mathematics and Computer Sciences, University of Prishtina, Avenue ‘Mother Teresa’ 5, Prishtinë, 10000, Kosovo Department of Computer Sciences and Applied Mathematics, College Vizioni per Arsim, Ferizaj, 70000, Kosovo Abstract In this paper, we introduce the new sequence space l(λ2,p) and we will show some topological properties like completeness,...

in the present paper we define strongly δn -summable sequences which generalize a-summablesequences and prove such spaces to be complete paranormed spaces under certain conditions, sometopological results have also been discussed.