Deferred 휎-statistical summability in intuitionistic fuzzy 푟-normed linear spaces.

In this paper, we define and study three novel summability concepts – strong deferred 휎-summability, deferred 휎-statistical summability, and 휎-statistical summability in intuitionistic fuzzy 푟-normed linear spaces (briefly called IF-푟-NLS) by using 휎-mean. We also provide an example in support of the new notions and uncover some interesting relationships. Additionally, we study deferred 휎-statistical summability in the context of two pairs of sequences of positive integers, namely, α n , γ n , and u n , v n satisfying α n ≤ u n < v n ≤ γ n . [ABSTRACT FROM AUTHOR]