Scholarlink

<p>We characterize the solvability sets for multivariate Hermite interpolation problems when the sum of multiplicities is at most <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(2n + 2\)</EquationSource> </InlineEquation>, where <i>n</i> is the degree of the polynomial space. This result extends an earlier theorem of one of the authors (2000) concerning the case of total multiplicity bound <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(2n+1\)</EquationSource> </InlineEquation>. That theorem, in turn, can be viewed as a natural generalization of a classical result due to Severi (1921).</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 the extension of a class of Hermite multivariate interpolation problems

  • 期刊论文

  • 发表日期：

    2026年5月9日

查看全文
  • Hakop Hakopian,
  • Anush Khachatryan

摘要

We characterize the solvability sets for multivariate Hermite interpolation problems when the sum of multiplicities is at most \(2n + 2\) , where n is the degree of the polynomial space. This result extends an earlier theorem of one of the authors (2000) concerning the case of total multiplicity bound \(2n+1\) . That theorem, in turn, can be viewed as a natural generalization of a classical result due to Severi (1921).