A Unified Approach for Nonlinear Kantorovich-Type Operators

Flavia Ventriglia; Gianluca Vinti

Bollettino dell'Unione Matematica Italiana (2013)

  • Volume: 6, Issue: 3, page 715-724
  • ISSN: 0392-4041

Abstract

top
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.

How to cite

top

Ventriglia, Flavia, and Vinti, Gianluca. "A Unified Approach for Nonlinear Kantorovich-Type Operators." Bollettino dell'Unione Matematica Italiana 6.3 (2013): 715-724. <http://eudml.org/doc/294048>.

@article{Ventriglia2013,
abstract = {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.},
author = {Ventriglia, Flavia, Vinti, Gianluca},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {715-724},
publisher = {Unione Matematica Italiana},
title = {A Unified Approach for Nonlinear Kantorovich-Type Operators},
url = {http://eudml.org/doc/294048},
volume = {6},
year = {2013},
}

TY - JOUR
AU - Ventriglia, Flavia
AU - Vinti, Gianluca
TI - A Unified Approach for Nonlinear Kantorovich-Type Operators
JO - Bollettino dell'Unione Matematica Italiana
DA - 2013/10//
PB - Unione Matematica Italiana
VL - 6
IS - 3
SP - 715
EP - 724
AB - 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.
LA - eng
UR - http://eudml.org/doc/294048
ER -

References

top
  1. HIGGINS, J.R., Five short stories about the cardinal series, Bull. Amer. Math. Soc., 12 (1) (1985), 45-89. Zbl0562.42002MR766960DOI10.1090/S0273-0979-1985-15293-0
  2. BUTZER, P.L., A survey of the Whittaker-Shannon sampling theorem and some of its extentions, J. Math. Res. Exposition, 3 (1983), 185-212. Zbl0523.94003MR724869
  3. BARDARO, C. - MUSIELAK, J., VINTI, G., Nonlinear integral operators and applications, de Gruyter Series in Nonlinear Analysis and Applications, vol. 9, Walter de Gruyter and Co., Berlin, 2003. Zbl1030.47003MR1994699DOI10.1515/9783110199277
  4. BARDARO, C. - BUTZER, P.L. - STENS, R.L. - VINTI, G., Kantorovich-type generalized sampling series in the setting of Orlicz spaces, Sampling Theory in Signal and Image Processing, 6 (1) (2007), 29-52. Zbl1156.41307MR2296881
  5. VENTRIGLIA, F. - VINTI, G., A unified approach for the convergence on nonlinear Kantorovich-Type operators, to appear. Zbl1300.41017MR3235270
  6. VINTI, G., ZAMPOGNI, L., Approximation by means of nonlinear Kantorovich sampling type operators in Orlicz spaces, J. of Approximation Theory, 161 (2009), 511-528. Zbl1183.41016MR2563068DOI10.1016/j.jat.2008.11.011

NotesEmbed ?

top

You must be logged in to post comments.