Scholarlink

<p>This paper introduces the concept of strongly <i>h</i>-convex functions and investigates their properties. We apply a generalized fractional integral operator to strongly <i>h</i>-convex functions, establishing fractional integral inequalities. As special cases, we derive Riemann–Liouville and Hadamard type integral inequalities. These results demonstrate the originality and significance of our research. The research presented in the paper contributes to fractional calculus and convex analysis.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Exploring fractional integral inequalities through the lens of strongly h-convex functions

  • 期刊论文

  • 发表日期：

    2025年8月26日

查看全文
  • Benali Halim,
  • Benguessoum Adel,
  • Mohammed Said Souid,
  • Zakia Hammouch

摘要

This paper introduces the concept of strongly h-convex functions and investigates their properties. We apply a generalized fractional integral operator to strongly h-convex functions, establishing fractional integral inequalities. As special cases, we derive Riemann–Liouville and Hadamard type integral inequalities. These results demonstrate the originality and significance of our research. The research presented in the paper contributes to fractional calculus and convex analysis.