Scholarlink

<p>Starting from the famous Hermite-Hadamard inequality for <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\varphi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>φ</mi> </math></EquationSource> </InlineEquation>-convex functions and a characterization of the logarithmic mean, we present several regularity results and observations concerning the equality of means. Finally, after weakening the conditions, we examine whether the characterization remains valid. We generalize some previous studies and provide a complete result regarding the equality of means.</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 an equality of means and a characterization of the logarithmic mean

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年8月4日

查看全文
  • Justyna Sikorska

摘要

Starting from the famous Hermite-Hadamard inequality for \(\varphi \) φ -convex functions and a characterization of the logarithmic mean, we present several regularity results and observations concerning the equality of means. Finally, after weakening the conditions, we examine whether the characterization remains valid. We generalize some previous studies and provide a complete result regarding the equality of means.