Karslı, Harun2023-05-122023-05-122021Karsli, H. (2021). On approximation to discrete q-derivatives of functions via q-Bernstein-Schurer operators. Mathematical Foundations of Computing, 4(1), 15-30.2577-8838http://dx.doi.org/10.3934/mfc.2020023https://hdl.handle.net/20.500.12491/10879In the present paper, we shall investigate the pointwise approximation properties of the qanalogue of the Bernstein-Schurer operators and estimate the rate of pointwise convergence of these operators to the functions f whose qderivatives are bounded variation on the interval [0, 1 + p]: We give an estimate for the rate of convergence of the operator (B(n,p,q)f) at those points x at which the one sided qderivatives D-q(+) f (x) and D-q(-) f (x) exist. We shall also prove that the operators (B(n,p,q)f) (x) converge to the limit f (x). As a continuation of the very recent and initial study of the author deals with the pointwise approximation of the qBernstein Durrmeyer operators [12] at those points x at which the one sided qderivatives D-q(+) f (x) and D-q(-) f(x) exist, this study provides (or presents) a forward work on the approximation of q -analogue of the Schurer type operators in the space of DqBVeninfo:eu-repo/semantics/openAccessQ-Bernstein-Schurer OperatorsPointwise ApproximationRight and Left Q-DerivativesConvergencePolynomialsArticle10.3934/mfc.20200234115302-s2.0-85110469320Q3WOS:000623677400002N/A