Eulerian polynomials and B-splines

Authors:
Tian-Xiao He
Affiliations:
-
Venue:
Journal of Computational and Applied Mathematics
Year:
2012

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Abstract

An interrelationship between Eulerian polynomials, Eulerian fractions and Euler-Frobe nius polynomials, Euler-Frobenius fractions, and B-splines is presented. 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.