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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 70 Issue: 1

Statistical extension of bounded sequence space

Maya Altınok(Tarsus Üniversitesi)0000-0002-6671-743X
Mehmet Küçükaslan(MERSİN ÜNİVERSİTESİ)0000-0002-3183-3123
Umutcan Kaya(MERSİN ÜNİVERSİTESİ)0000-0002-0419-6106
Sayfa
—
Yayın Tarihi
2021-06-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, it is shown that the space $l_{\infty}$ is a non-porous subset of $l_{\infty}^{st}$.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper by using natural density real valued bounded sequence space $l_{\infty}$ is extented and statistical bounded sequence space $l_{\infty}^{st}$ is obtained.
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Temel Bulgular & Veri:Besides the main properties of the space $l_{\infty}^{st}$, it is shown that $l_{\infty}^{st}$ is a Banach space with a norm produced with the help of density.
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Sonuç & Katkı:Finally, it is shown that the space $l_{\infty}$ is a non-porous subset of $l_{\infty}^{st}$.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Natural density · statistical convergence · statistical sup norm

Abstract

In this paper by using natural density real valued bounded sequence space $l_{\infty}$ is extented and statistical bounded sequence space $l_{\infty}^{st}$ is obtained. Besides the main properties of the space $l_{\infty}^{st}$, it is shown that $l_{\infty}^{st}$ is a Banach space with a norm produced with the help of density. Also, it is shown that there is no matrix extension of the space $l_{\infty}$ that its bounded sequences space covers $l_{\infty}^{st}$. Finally, it is shown that the space $l_{\infty}$ is a non-porous subset of $l_{\infty}^{st}$.

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Bu Makaleye Atıf Yap

Altınok, M., Küçükaslan, M., Kaya, U. (2021). Statistical extension of bounded sequence space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 70 Issue: 1. https://doi.org/10.31801/cfsuasmas.736132

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