Abstract As an extension of Lagrange interpolation, we introduce a class of interpolation formulas and study their existence and uniqueness. In the sequel, we consider some particular cases and construct the corresponding weighted quadrature rules. Numerical examples are finally given and compared.

中文翻译：

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一些插值公式的统一表示

摘要 作为拉格朗日插值的扩展，我们引入了一类插值公式并研究了它们的存在唯一性。在续集中，我们考虑一些特殊情况并构建相应的加权求积规则。最后给出数值例子并进行比较。