Scholarlink

<p>We study the interpolation of functions by elements from a specific space of harmonic functions defined in an annulus centered at the origin. We show that the interpolation problems corresponding to the pointwise evaluation functionals induced by points on circles and integrals over the line segments, where the lines pass through the origin, always have a unique solution. We establish an approximation property of interpolation functions of a harmonic function in an annulus, under the condition that the interpolation points and the line segments are simultaneously equally spaced.</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

Interpolation by bivariate harmonic functions on annuli

  • 期刊论文

  • 发表日期：

    2026年6月27日

查看全文
  • Nguyen Anh Ngoc,
  • Phung Van Manh,
  • Nguyen Van Trao

摘要

We study the interpolation of functions by elements from a specific space of harmonic functions defined in an annulus centered at the origin. We show that the interpolation problems corresponding to the pointwise evaluation functionals induced by points on circles and integrals over the line segments, where the lines pass through the origin, always have a unique solution. We establish an approximation property of interpolation functions of a harmonic function in an annulus, under the condition that the interpolation points and the line segments are simultaneously equally spaced.