A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials. (11th December 2012)

• Record Type: Journal Article
• Authors: Taşdelen, Fatma; Aktaş, Rabia; Altın, Abdullah
• Other Names: Bellouquid Abdelghani Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-12-11
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/867203
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem. We also present the order of convergence with the help of a classical approach, the second modulus of continuity, and Peetre's K -functional. Furthermore, an example of Kantorovich type of the operators including Gould-Hopper polynomials is presented and Voronovskaya-type result is given for these operators including Gould-Hopper polynomials.