Approximation by (p, q)-Analogue of Balázs-Szabados Operators

Esma Yıldız Özkan, Nurhayat Ispir

In the present paper, we introduce a generalization of Balázs-Szabados operators by means of (p, q)-calculus. We give the rate of convergence of Balázs-Szabados operators on based p, q-integrers by using Lipschitz class function and the Peetre's K-functional. We give the degree of asymptotic approximation by means of Voronoskaja type theorem. Further, we give some comparisons associated the convergence of Balázs-Szabados, q-Balázs-Szabados and (p, q)-Balázs-Szabados operators to certain functions by illustrations. Moreover, we investigate the properties of the weighted approximation for these operators.