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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
For $p>2$, we also obtain a resultwhich describe how the weighted inner product space is associatedto the weights.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:We revisit the space $\ell^p$ of $p$-summable sequences of realnumbers.
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Temel Bulgular & Veri:In particular, we show that this space is actuallycontained in a (weighted) inner product space.
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Sonuç & Katkı:For $p>2$, we also obtain a resultwhich describe how the weighted inner product space is associatedto the weights.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:inner product spaces · normed spaces · p -summable sequences
Abstract
We revisit the space $\ell^p$ of $p$-summable sequences of realnumbers. In particular, we show that this space is actuallycontained in a (weighted) inner product space. The relationshipbetween $\ell^p$ and the (weighted) inner product space thatcontains $\ell^p$ is studied. For $p>2$, we also obtain a resultwhich describe how the weighted inner product space is associatedto the weights.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
KONCA, Ş., IDRİS, M., GUNAWAN, H. (2015). $p$-Summable Sequence Spaces with Inner Products. Bitlis Eren University Journal of Science and Technology, Cilt: 5 - Sayı: 1, 37–41. https://ajindex.com/articles/743842