Splines and fractional differential operators

  title={Splines and fractional differential operators},
  author={Peter R. Massopust},
  journal={International Journal of Wavelets, Multiresolution and Information Processing},
  • P. Massopust
  • Published 31 January 2019
  • Mathematics
  • International Journal of Wavelets, Multiresolution and Information Processing
Several classes of classical cardinal B-splines can be obtained as solutions of operator equations of the form [Formula: see text] where [Formula: see text] is a linear differential operator of integral order. In this paper, we consider classes of generalized B-splines consisting of cardinal polynomial B-splines of complex and hypercomplex orders and cardinal exponential B-splines of complex order and derive the fractional linear differential operators that are naturally associated with them… Expand
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