Scholarlink

<p>Several sequences of positive linear operators are known in Approximation Theory whose limits are operators different from the identity. These operators are constructed using both analytic and probabilistic methods. In this work, we characterize these limits and investigate their properties. Furthermore, we extend the framework to include the Bernstein–Chlodovsky and Bernstein–Schnabl operators, for which we establish new properties.</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

Limits of special sequences of positive linear operators

  • 期刊论文

  • 发表日期：

    2026年3月2日

查看全文
  • Ana-Maria Acu,
  • Gabriela Motronea,
  • Ioan Raşa

摘要

Several sequences of positive linear operators are known in Approximation Theory whose limits are operators different from the identity. These operators are constructed using both analytic and probabilistic methods. In this work, we characterize these limits and investigate their properties. Furthermore, we extend the framework to include the Bernstein–Chlodovsky and Bernstein–Schnabl operators, for which we establish new properties.