A de Casteljau Algorithm for 𝑞-Bernstein-Stancu Polynomials

Algorithm 1

De Casteljau type algorithm.

input:  𝑞;𝑓([0]/[𝑛]),𝑓([1]/[𝑛]),…,𝑓([𝑛]/[𝑛])

for  𝑟=0 to 𝑛

                 𝑓_𝑟^[0]∶=𝑓([𝑟])[𝑛]

next   𝑟

for  𝑚=1 to 𝑛

for  𝑟=0 to 𝑛−𝑚

        𝑓_𝑟^[𝑚]∶={(𝑞^𝑟−𝑞^𝑚−1𝑥+𝛼([𝑚−1]−[𝑟]))𝑓_𝑟^[𝑚−1]+(𝑥+𝛼[𝑟])𝑓^[𝑚−1]_𝑟+1}1+𝛼[𝑚−1]

next 𝑟

next 𝑚