Geodesic
A Unified Approach for Nonlinear Kantorovich-Type Operators
Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 3, pp. 715-724.

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In this paper we introduce some important results on the approximation by series and their generalizations for integral operators. In particular, we show some new results for nonlinear Kantorovich-type operators, contained in a recent publication, and several graphical examples. 
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Ventriglia, Flavia; Vinti, Gianluca. A Unified Approach for Nonlinear Kantorovich-Type Operators. Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 3, pp. 715-724. http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_3_a13/

[1] J.R. Higgins, Five short stories about the cardinal series, Bull. Amer. Math. Soc., 12 (1) (1985), 45-89. | DOI | MR | Zbl

[2] P.L. Butzer, A survey of the Whittaker-Shannon sampling theorem and some of its extentions, J. Math. Res. Exposition, 3 (1983), 185-212. | MR | Zbl

[3] C. Bardaro - J. Musielak, G. Vinti, Nonlinear integral operators and applications, de Gruyter Series in Nonlinear Analysis and Applications, vol. 9, Walter de Gruyter and Co., Berlin, 2003. | DOI | MR | Zbl

[4] C. Bardaro - P.L. Butzer - R.L. Stens - G. Vinti, Kantorovich-type generalized sampling series in the setting of Orlicz spaces, Sampling Theory in Signal and Image Processing, 6 (1) (2007), 29-52. | MR | Zbl

[5] F. Ventriglia - G. Vinti, A unified approach for the convergence on nonlinear Kantorovich-Type operators, to appear. | MR | Zbl

[6] G. Vinti, L. Zampogni, Approximation by means of nonlinear Kantorovich sampling type operators in Orlicz spaces, J. of Approximation Theory, 161 (2009), 511-528. | DOI | MR | Zbl