Further Results on (Δ_s^j,f)-Lacunary Statistical Convergence of Double Sequences of order α
Copyright policy )Further Results on (Δ_s^j,f)-Lacunary Statistical Convergence of Double Sequences of order α
This paper defines the space S_(θ_uv)^α (Δ_s^j,f), encompassing all sequences that are (Δ_s^j,f)-lacunary statistically convergent of order α, utilizing an unbounded modulus function f, a double lacunary sequence θ_uv={(k_u,l_v )}, a generalized difference operator Δ_s^j, and a real number α ∈ (0,1]. Additionally, the space ω_(θ_uv)^α (Δ_s^j,f) is introduced to include all sequences that are strongly (Δ_s^j,f)-lacunary summable of order α. The paper investigates properties associated with these spaces, and under specific conditions, inclusion relations between the spaces S_(θ_uv)^α (Δ_s^j,f) and ω_(θ_uv)^α (Δ_s^j,f) are established.
- Bartin University Turkey
Lacunary statistical convergence, lacunary sequences;lacunary statistical convergence;Modulus function, Operator Algebras and Functional Analysis, Lacunary sequences, Modulus function, Operatör Cebirleri ve Fonksiyonel Analiz
Lacunary statistical convergence, lacunary sequences;lacunary statistical convergence;Modulus function, Operator Algebras and Functional Analysis, Lacunary sequences, Modulus function, Operatör Cebirleri ve Fonksiyonel Analiz
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!