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Journal of Function Spaces and Applications
Volume 2013, Article ID 935430, 9 pages
Research Article

A Kantorovich-Stancu Type Generalization of Szasz Operators including Brenke Type Polynomials

1Department of Mathematics, Faculty of Science, Ankara University, Tandoğan, 06100 Ankara, Turkey
2Department of Mathematics, Faculty of Science, Gazi University, Beşevler, 06500 Ankara, Turkey

Received 11 September 2013; Accepted 18 November 2013

Academic Editor: Anna Kaminska

Copyright © 2013 Rabia Aktaş et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We introduce a Kantorovich-Stancu type modification of a generalization of Szasz operators defined by means of the Brenke type polynomials and obtain approximation properties of these operators. Also, we give a Voronovskaya type theorem for Kantorovich-Stancu type operators including Gould-Hopper polynomials.