Truncated power function

In mathematics, the truncated power function[1] with exponent is defined as

In particular,

and interpret the exponent as conventional power.


  • Truncated power functions can be used for construction of B-splines.
  •   is the Heaviside function.
  •   where   is the indicator function.
  • Truncated power functions are refinable.

See alsoEdit

External linksEdit


  1. ^ Massopust, Peter (2010). Interpolation and Approximation with Splines and Fractals. Oxford University Press, USA. p. 46. ISBN 0-19-533654-2.