Notes on the rational Bernstein bases and the multirational Blossoms
Bei Wu · Journal of Hefei University of Technology · 2002
Fractional Bernstein bases are introduced by observing that the binomial theorem is valid for fractional exponents. Bernstein bases are extended to fractional degree. Many similar properties and identities, which are valid for integral Bernstein bases, are got. Moreover,Marsden identity and its Blossoming form for fractional Bernstein bases are given and the example shows that fractional Bernstein bases are more flexible than integral Bernstein bases.