Affiliation:
1. Department of Mathematics , Chandigarh University , Mohali , Punjab , India
Abstract
Abstract
In this paper, we define and study three novel summability concepts – strong deferred 𝜎-summability, deferred 𝜎-statistical summability, and 𝜎-statistical summability in intuitionistic fuzzy 𝑟-normed linear spaces (briefly called IF-𝑟-NLS) by using 𝜎-mean.
We also provide an example in support of the new notions and uncover some interesting relationships.
Additionally, we study deferred 𝜎-statistical summability in the context of two pairs of sequences of positive integers, namely,
α
n
,
γ
n
\alpha_{n},\gamma_{n}
, and
u
n
,
v
n
u_{n},v_{n}
satisfying
α
n
≤
u
n
<
v
n
≤
γ
n
\alpha_{n}\leq u_{n}<v_{n}\leq\gamma_{n}
.
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