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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We also present some further results via the Lebesgue integral.
📌 3 Key Takeaways
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Objective & Hypothesis:A spliced sequence is formed by combining all of the terms of two or more convergent sequences, in their original order, into a new spliced sequence.
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Key Findings & Data:In this paper replacing convergent sequences by bounded sequences, we study the summability of spliced sequences and give some inequalities that provide us with approximation of the core of transformation of these sequences by a summability matrix.
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Conclusion & Impact:We also present some further results via the Lebesgue integral.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Matrix summability · spliced sequences · $A$-density
Abstract
A spliced sequence is formed by combining all of the terms of two or more convergent sequences, in their original order, into a new spliced sequence. In this paper replacing convergent sequences by bounded sequences, we study the summability of spliced sequences and give some inequalities that provide us with approximation of the core of transformation of these sequences by a summability matrix. We also present some further results via the Lebesgue integral.
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Cite This Article
YURDAKADİM, T., ÜNVER, M. (2016). Some results concerning the summability of spliced sequences. Turkish Journal of Mathematics, Cilt: 40 - Sayı: 5, 1134–1143. https://ajindex.com/articles/723257