Some Geometric Properties of a Generalized Difference Sequence Space Involving Lacunary Sequence | Chapter 03 | Advances in Mathematics and Computer Science Vol. 2
In this paper, we define a new generalized difference sequence space l(p, θ, ∆m, s) involving lacunarysequence where p = (pr) is a bounded sequence of positive real numbers with pr >1 for all r ∈ N and s ≥ 0. Then, we examine the uniform Opial property, k-NUC property and Banach-Saksproperty of type p for this space.
Department of Mathematics, Utkal University, Vani-Vihar, Bhubaneswar-751004, India.
Read full article: http://bp.bookpi.org/index.php/bpi/catalog/view/69/824/629-1
View Volume: https://doi.org/10.9734/bpi/amacs/v2