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<p>In this study, we establish Corrected Euler-Maclaurin-type inequalities for <i>h</i>-convex functions using Riemann-Liouville fractional operators on the cone of twice-differentiable functions. This is a novel fractional version of the existing Corrected Euler-Maclaurin-type inequalities with basics methods using the <i>B</i>-function. In addition, new refinement and results on Corrected Euler-Maclaurin-type inequalities have been released for several particular situations of convexity, like <i>s</i>-convexity, convexity, and <i>P</i>-functions class.</p>

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Corrected Euler-Maclaurin-type inequalities for twice differentiable and h-convex functions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月29日

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  • Bouharket Benaissa,
  • Noureddine Azzouz,
  • Hüseyin Budak,
  • Fatih Hezenci

摘要

In this study, we establish Corrected Euler-Maclaurin-type inequalities for h-convex functions using Riemann-Liouville fractional operators on the cone of twice-differentiable functions. This is a novel fractional version of the existing Corrected Euler-Maclaurin-type inequalities with basics methods using the B-function. In addition, new refinement and results on Corrected Euler-Maclaurin-type inequalities have been released for several particular situations of convexity, like s-convexity, convexity, and P-functions class.