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<p>In this study, we introduce the sequence space <i>ℓ</i><sup><i>μ</i></sup>(<i>p</i>, Δ<sup><i>m</i></sup>) with a fractional order <i>μ</i>. Furthermore, we give some topological properties of this space. Also we introduce <i>α</i>–, <i>β</i>–, and <i>γ</i>–duals of <i>ℓ</i><sup><i>μ</i></sup>(<i>p</i>, Δ<sup><i>m</i></sup>) and its some matrix mappings.</p>

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Generalized Euler-Riesz difference sequence space with a paranormed fractional ordered μ

  • 期刊论文

  • 发表日期：

    2026年3月1日

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  • Münevver Tuz,
  • Çiğdem Asma Bektaş

摘要

In this study, we introduce the sequence space ℓμ(p, Δm) with a fractional order μ. Furthermore, we give some topological properties of this space. Also we introduce α–, β–, and γ–duals of ℓμ(p, Δm) and its some matrix mappings.