Scholarlink

In this work we consider the Cantor-Vitali function \(c:[0,1]\rightarrow [0,1]\) , constructed as limit of a sequence of functions \(\left\{ f_n\right\} _{n\in \mathbb {N}_0}\) . In particular, we give formulas for the length of the graph of the approximating functions and will discuss them, together with the length of the graph of c, also by using infinity computing.

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

The Cantor-Vitali Function and Infinity Computing

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Luigi Antoniotti,
  • Corrado Mariano Marotta,
  • Andrea Melicchio,
  • Maria Anastasia Papaleo

摘要

In this work we consider the Cantor-Vitali function \(c:[0,1]\rightarrow [0,1]\) , constructed as limit of a sequence of functions \(\left\{ f_n\right\} _{n\in \mathbb {N}_0}\) . In particular, we give formulas for the length of the graph of the approximating functions and will discuss them, together with the length of the graph of c, also by using infinity computing.