# Splines and fractional differential operators

@article{Massopust2020SplinesAF, title={Splines and fractional differential operators}, author={Peter R. Massopust}, journal={International Journal of Wavelets, Multiresolution and Information Processing}, year={2020} }

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

#### 2 Citations

On Some Generalizations of B-Splines

- Mathematics
- 2019

In this article, we consider some generalizations of polynomial and exponential B-splines. Firstly, the extension from integral to complex orders is reviewed and presented. The second generalization… Expand

Reproducing fractional monomials: Weakening of the Strang-Fix conditions

- Computer Science, Mathematics
- Int. J. Wavelets Multiresolution Inf. Process.
- 2021

The traditional relation between the degree of reproduced monomials and the order of approximation holds and bivariate, obtained by tensor product, fractional B-splines are introduced; and reproducing of bivariate causal and symmetricmonomials is shown. Expand

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