Abstract:
It was Chlodowsky who considered non-trivial Bernstein operators, which help to
approximate bounded continuous functions on the unbounded domain. In this
paper, we introduce the Chlodowsky variant of q-Bernstein-Schurer-Stancu operators.
By obtaining the first few moments of these operators, we prove Korovkin-type
approximation theorems in different function spaces. Furthermore, we compute the
error of the approximation by using the modulus of continuity and Lipschitz-type
functionals. Then we obtain the degree of the approximation in terms of the modulus
of continuity of the derivative of the function. Finally, we study the generalization of
the Chlodowsky variant of q-Bernstein-Schurer-Stancu operators and investigate their
approximations
