Affiliation:
1. Department of Mathematics , Tripura University (A Central University) , Suryamaninagar-799022 , Agartala , India
2. Department of Mathematics , Uşak University , Uşak , Türkiye
Abstract
Abstract
In this paper, by using the notions of λ-density,
(
V
,
λ
)
{(V,\lambda)}
-summability and Orlicz function ϕ, we introduce a new concept of convergence, namely λ-statistically ϕ-convergence, as a generalization of the λ-statistical convergence and statistically ϕ-convergence. Based on this concept, we introduce a new sequence space
S
λ
-
ϕ
{S_{\lambda}-\phi}
and investigate some of its properties. Also, we find its relations with statistically ϕ-convergence,
[
C
,
1
]
ϕ
{[C,1]_{\phi}}
-summability and
[
V
,
λ
]
ϕ
{[V,\lambda]_{\phi}}
-summability.
Finally, we introduce and investigate the concept of
S
λ
-
ϕ
{S_{\lambda}-\phi}
Cauchy sequences.
Funder
University Grants Commission
Subject
Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics
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