An extension of the Euler-Maclaurin quadrature formula using a parametric type of Bernoulli polynomials. (English) Zbl 1461.11043
Summary: 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.
MSC:
| 11B68 | Bernoulli and Euler numbers and polynomials |
| 11Y35 | Analytic computations |
| 11C08 | Polynomials in number theory |
Keywords:
Euler-Maclaurin quadrature rules; Bernoulli polynomials and numbers; Appell polynomials; generating functions; Fourier expansionsReferences:
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