Abstract
In this paper we bring together the most outstanding results concerning the Meyer-Konig and Zeller operators. Furthermore, a generalization of these operators is presented establishing the degree of approximation in terms of the moduli of smoothness of first and second order. Also, the Ditzian-Totik modulus and the weighted K-functional are used.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Meyer-Konig and Zeller operator; modulus of smoothness; Ditzian-Totik modulus, K-functional
Paper coordinates
O. Agratini, More than a summing up about Meyer-Konig and Zeller operators, Proceedings of the 4th Romanian-German Seminar on Approximation Theory and its Applications, Brasov, 3-5 July, 2000, pp.13-25, Duisburg: Schriftenreihe des Fachbereichs der Gerhard-Mercator-Universitat, SM-DU-48
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