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<p>We discuss two functional inequalities proposed by Lu and Park (J. Inequal. Appl. 2012:294, <CitationRef CitationID="CR9">2012</CitationRef>). Using the concept of <i>γ</i>-additive mappings and the results of Forti (J. Math. Anal. Appl. 295:127–133, <CitationRef CitationID="CR2">2004</CitationRef>) we give an improvement of the stability results of these functional inequalities and obtain some hyperstability results. In some situation, we show that the estimate in our result is sharp.</p>

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Some improvements on the stability results for additive functional inequalities in Banach spaces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月8日

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  • Sajjatit Santawong,
  • Satit Saejung

摘要

We discuss two functional inequalities proposed by Lu and Park (J. Inequal. Appl. 2012:294, 2012). Using the concept of γ-additive mappings and the results of Forti (J. Math. Anal. Appl. 295:127–133, 2004) we give an improvement of the stability results of these functional inequalities and obtain some hyperstability results. In some situation, we show that the estimate in our result is sharp.