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<p>In this work, we use a novel identity to show a number of new Maclaurin-type inequalities for functions whose first derivatives are <i>s</i>-convex. We also deal with cases where the first derivatives are bounded and Lipschitzian. Applications in numerical integration and inequalities utilizing special means are provided out this research.</p>

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Maclaurin’s inequalities for differentiable s-convex functions

  • 期刊论文

  • 发表日期：

    2026年3月7日

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  • Badreddine Meftah,
  • Nouha Allel

摘要

In this work, we use a novel identity to show a number of new Maclaurin-type inequalities for functions whose first derivatives are s-convex. We also deal with cases where the first derivatives are bounded and Lipschitzian. Applications in numerical integration and inequalities utilizing special means are provided out this research.