Aral, Ali2020-06-252020-06-252006closedAccess1521-1398https://hdl.handle.net/20.500.12587/3753In this paper, we give the generalizations of the Picard and the Gauss Weierstrass singular integral operators which are based on the q-numbers and depend on q-generalization of the Euler gamma integral. Later on, some approximation properties of these two generalized operators are established in L-p (R) and weighted -L-p (R) spaces. We also show that the rates of convergence of these generalized operators to approximating function f in the L-p-norm are at least so faster than that of the classical Picard and Gauss Weierstrass singular integral operators.eninfo:eu-repo/semantics/closedAccessq-gamma integralq-Picard and q-Gauss Weierstrass integralweighted modulus of continuityArticle832492612-s2.0-33748672936Q4WOS:000236418600004Q4