Generalized 𝑞-Bernstein-Schurer Operators and Some Approximation Theorems

Algorithm 1

Error estimate algorithm.

𝑠𝑦𝑚𝑠  𝑥;

𝑛= [20,30,50];

𝑝=30;  𝑞= 0.9;

𝑑𝑎𝑡=𝑧𝑒𝑟𝑜𝑠(3,4);

𝑓𝑜𝑟   𝑖= 1 : 3

   𝑚=𝑛(𝑖);

𝑒𝑟𝑟𝑒𝑠𝑡𝑖𝑚𝑎𝑡𝑒=𝑖𝑛𝑙𝑖𝑛𝑒𝑐ℎ𝑎𝑟𝑥²(𝑞𝑖𝑛𝑡𝑒𝑔𝑒𝑟(𝑚+𝑝,𝑞)−𝑞𝑖𝑛𝑡𝑒𝑔𝑒𝑟(𝑚,𝑞))²−𝑞𝑖𝑛𝑡𝑒𝑔𝑒𝑟(𝑚+𝑝,𝑞)(𝑞𝑖𝑛𝑡𝑒𝑔𝑒𝑟(𝑚,𝑞))²

      +𝑥𝑞𝑖𝑛𝑡𝑒𝑔𝑒𝑟𝑚+𝑝,𝑞(𝑞𝑖𝑛𝑡𝑒𝑔𝑒𝑟(𝑚,𝑞))²×𝑎𝑏𝑠𝑑𝑖𝑓𝑓1+sin−6.5𝑥.²,2;

  𝑑𝑎𝑡(𝑖,1)=𝑛(𝑖);

  𝑑𝑎𝑡(𝑖,2)=𝑒𝑟𝑟𝑒𝑠𝑡𝑖𝑚𝑎𝑡𝑒(0.2);

  𝑑𝑎𝑡(𝑖,3)=𝑒𝑟𝑟𝑒𝑠𝑡𝑖𝑚𝑎𝑡𝑒(0.5);

  𝑑𝑎𝑡(𝑖,4)=𝑒𝑟𝑟𝑒𝑠𝑡𝑖𝑚𝑎𝑡𝑒(0.8);

end