Korovkin-type approximation properties of bivariate q-Meyer-König and Zeller operators

1. Altomare, F., Campiti, M.: Korovkin-type approximation theory and its applications. Berlin: Walter de Gruyter 1994

2. Andrews, G.E., Askey, R., Roy, R.: Special functions. Cambridge: Cambridge Univ. Press 1999

3. Barbosu, D.: Some generalized bivariate Bernstein operators. Math. Notes (Miskolc) 1, 3–10 (2000)

4. Bleimann, G., Butzer, P.L., Hahn, L.: A Bernšteǐn-type operator approximating continuous functions on the semi-axis. Nederl. Akad. Wetensch. Indag. Math. 42, 255–262 (1980)

5. Cheney, E.W., Sharma, A.: Bernstein power series. Canad. J. Math. 16, 241–252 (1964)

6. Doğru, O., Duman, O.: Statistical approximation of Meyer-König and Zeller operators based on the q-integers. Publ. Math. Debrecen 68, 199–214 (2006)

7. Goodman, T.N.T., Oruç, H., Phillips, G.M.: Convexity and generalized Bernstein polynomials. Proc. Edinburgh Math. Soc. 42(2), 179–190 (1999)

8. Heping, W.: Korovkin-type theorem and application. J. Approx. Theory 132, 258–264 (2005)

9. Meyer-König, W., Zeller, K.: Bernsteinsche Potenzreihen. Studia Math. 19, 89–94 (1960)

10. Oruç, H., Phillips, G.M.: A generalization of the Bernstein polynomials. Proc. Edinburgh Math. Soc. 42(2), 403–413 (1999)

11. Phillips, G.M.: On generalized Bernstein polynomials. In: Griffiths, D.F., Watson, G.A. (eds): Numerical analysis. Singapore: World Scientific 1996, pp. 263–269

12. Stancu, D.D.: A new class of uniform approximating polynomial operators in two and several variables. In: Alexits, G., Stechkin, S.B. (eds.): Proceedings of the conference on constructive theory of functions. Budapest: Akadémiai Kiadó 1972, pp. 443–455

13. Trif, T.: Meyer-König and Zeller operators based on the q-integers. Rev. Anal. Numér. Théor. Approx. 29, 221–229 (2000)

14. Volkov, V.I.: On the convergence of sequences of linear positive operators in the space of continuous functions of two variables. (Russian) Dokl. Akad. Nauk. SSSR (N.S.) 115, 17–19 (1957)