Affiliation:
1. Department Of Mathematics , Chandigarh University , Mohali - 140413, Punjab , India
Abstract
Abstract
In this article, we aim to define
ℐ
2
(
𝒮
)
{\mathcal{I}_{2}(\mathcal{S})}
-summability
and
ℐ
2
(
𝒮
θ
p
,
r
)
{\mathcal{I}_{2}(\mathcal{S}_{{\theta}_{p,r}})}
-summability,
and obtain interesting relationships among these by imposing certain conditions on p and r. Finally, we show that the space
ℐ
2
(
𝒮
θ
p
,
r
(
G
,
B
,
Y
)
)
∩
l
∞
2
(
V
)
\mathcal{I}_{2}(\mathcal{S}_{{\theta}_{p,r}}(G,B,Y))\cap l^{2}_{\infty}(V)
is a closed subspace of
l
∞
2
(
V
)
{l^{2}_{\infty}(V)}
.
Subject
Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics