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<p>In this article, we introduce new sequence classes which are the generalisation of classical sequence spaces via lacunary sequences. This study is for sequences with large oscillations. Many relations between classical and their generalisation spaces have been established. Solidity and density properties are also investigated.</p>

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Lacunary Convergence and p-Absolutely Summable Sequences of Non-Newtonian Numbers

  • 期刊论文

  • 发表日期：

    2026年5月30日

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  • Ashoke Dutta,
  • D. Harish,
  • Binod Chandra Tripathy

摘要

In this article, we introduce new sequence classes which are the generalisation of classical sequence spaces via lacunary sequences. This study is for sequences with large oscillations. Many relations between classical and their generalisation spaces have been established. Solidity and density properties are also investigated.