Scholarlink

<p>In this paper, we establish the Lipschitz continuity of finite-dimensional globally convex functions on all given balls and global Lipschitz continuity for eligible functions of that type. The Lipschitz constants in both situations draw information solely from function values, and the global Lipschitz modulus is found when it exists. Some examples of classes of globally Lipschitz continuous convex functions besides the norms are also provided along with their global Lipschitz modulus.</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

Lipschitz modulus of convex functions via function values

  • 期刊论文

  • 发表日期：

    2025年7月2日

查看全文
  • Pham Duy Khanh,
  • Vu Vinh Huy Khoa,
  • Vo Thanh Phat,
  • Le Duc Viet

摘要

In this paper, we establish the Lipschitz continuity of finite-dimensional globally convex functions on all given balls and global Lipschitz continuity for eligible functions of that type. The Lipschitz constants in both situations draw information solely from function values, and the global Lipschitz modulus is found when it exists. Some examples of classes of globally Lipschitz continuous convex functions besides the norms are also provided along with their global Lipschitz modulus.