Eulerian polynomials and B-splines

نویسنده

  • Tian-Xiao He
چکیده

Here presented is the interrelationship between Eulerian polynomials, Eulerian fractions and Euler-Frobenius polynomials, Euler-Frobenius fractions, Bsplines, respectively. The properties of Eulerian polynomials and Eulerian fractions and their applications in B-spline interpolation and evaluation of Riemann zeta function values at odd integers are given. The relation between Eulerian numbers and B-spline values at knot points are also discussed. AMS Subject Classification: 41A80, 65B10, 33C45, 39A70.

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عنوان ژورنال:
  • J. Computational Applied Mathematics

دوره 236  شماره 

صفحات  -

تاریخ انتشار 2012