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.
📌 3 Maddede Bu Makale
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Amaç & Hipotez: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].
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:lacunary sequences · lacunary statistical convergence · Modulus function
Abstract
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.
Kişi, Ö., Akbıyık, R., Gürdal, M. (2024). Further Results on (Δ_s^j,f)-Lacunary Statistical Convergence of Double Sequences of order α. Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi, Volume: 19 Issue: 2. https://doi.org/10.29233/sdufeffd.1469619
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