In this paper, we introduce a parametric type of Bernoulli polynomials and study their basic properties in order to establish an extension of Euler-Maclaurin quadrature rules and compare them with the well-known ordinary case.

中文翻译：

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参数型伯努利多项式对Euler-Maclaurin正交公式的扩展

在本文中，我们介绍了参数类型的伯努利多项式，并研究了它们的基本性质，以便建立Euler-Maclaurin正交规则的扩展并将它们与众所周知的普通情况进行比较。