Lupaş Bernstein-Kantorovich operators using Jackson and Riemann type (p,q)-integrals

In this paper, Lupa? Bernstein-Kantorovich operators have been studied using Jackson and Riemann type (p,q)-integrals. It has shown that (p, q)-integrals as well are not defined for 0 < q p 1 thus further analysis is needed. Throughout the case ? used. Advantages of discussed over general q)-integrals. constructed via integral need be positive every f 0. So to make these based on q)-integral positive, one consider strictly monotonically increasing functions, handle situation However q)-Bernstein-Kantorovich always linear operators. Approximation properties Korovkin?s approximation theorem investigated. The rate convergence modulus continuity function belonging Lipschitz class computed.