Some remarks on I(Sθ)-summability via neutrosophic norm.

Abstract

For an admissible ideal I ⊆ P(N) and a lacunary sequence θ = (ks), the aim of the present paper is to introduce the concept of I(S)-summability and I(Sθ)-summability w.r.t neutrosophic norm (G,B,Y). We also investigate some relations among these notions and prove that these are equivalent if and only if 1 < liminfqs ≤ limsupqs < ∞.