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<p>In this paper, we use invariant mean to define <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(S_\sigma (\mathcal {G})\)</EquationSource> </InlineEquation>-summable and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(S_\sigma (\phi : \mathcal {G})\)</EquationSource> </InlineEquation>-summable sequences in gradual normed spaces and study their corresponding sequence spaces. We investigate some properties of these spaces within the framework of gradual norm.</p>

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On Generalized Limits Defined by Gradual Norm

  • 期刊论文

  • 发表日期：

    2026年4月17日

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  • Archana Sharma,
  • Vijay Kumar

摘要

In this paper, we use invariant mean to define \(S_\sigma (\mathcal {G})\) -summable and \(S_\sigma (\phi : \mathcal {G})\) -summable sequences in gradual normed spaces and study their corresponding sequence spaces. We investigate some properties of these spaces within the framework of gradual norm.