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Ventriglia, Flavia and Vinti, Gianluca:
A Unified Approach for Nonlinear Kantorovich-Type Operators
Bollettino dell'Unione Matematica Italiana Serie 9 6 (2013), fasc. n.3, p. 715-724, (English)
pdf (318 Kb), djvu (93 Kb). | MR 3202849

Sunto

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.
Referenze Bibliografiche
[1] J.R. HIGGINS, Five short stories about the cardinal series, Bull. Amer. Math. Soc., 12 (1) (1985), 45-89. | fulltext (doi) | MR 766960 | Zbl 0562.42002
[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 724869 | Zbl 0523.94003
[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. | fulltext (doi) | MR 1994699 | Zbl 1030.47003
[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 2296881 | Zbl 1156.41307
[5] F. VENTRIGLIA - G. VINTI, A unified approach for the convergence on nonlinear Kantorovich-Type operators, to appear. | MR 3235270 | Zbl 1300.41017
[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. | fulltext (doi) | MR 2563068 | Zbl 1183.41016

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