Scholarlink

<p>This article introduces novel integral identities and results, with a particular focus on strongly Φ-convex functions and their associated inequalities. By leveraging Riemann-Liouville (RL) fractional integral operators, we first define strongly Φ-convex functions and establish Hermite-Hadamard type inequalities for these functions. Building on this foundation, we derive new identities and present fresh results for key inequalities, including Hölder’s inequality, Young’s inequality, and the Power mean inequality, specifically tailored to strongly Φ-convex functions. Our findings not only expand on existing literature but also reveal important connections between previously recognized results and our new contributions, offering deeper insights into the study of integral inequalities.</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

On generalization of integral inequalities for strongly Φ-convex functions using Riemann-Liouville operators

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年11月11日

查看全文
  • Muhammad Sadaqat Talha,
  • Waseem Razzaq,
  • Abdulrahman Alomair,
  • Abdulaziz S. Al Naim

摘要

This article introduces novel integral identities and results, with a particular focus on strongly Φ-convex functions and their associated inequalities. By leveraging Riemann-Liouville (RL) fractional integral operators, we first define strongly Φ-convex functions and establish Hermite-Hadamard type inequalities for these functions. Building on this foundation, we derive new identities and present fresh results for key inequalities, including Hölder’s inequality, Young’s inequality, and the Power mean inequality, specifically tailored to strongly Φ-convex functions. Our findings not only expand on existing literature but also reveal important connections between previously recognized results and our new contributions, offering deeper insights into the study of integral inequalities.