Global smoothness preservation and the variation-diminishing property
C. Cottin, I. Gavrea, H. Gonska, D.P. Kacsó, D.-X. Zhou, Journal of Inequalities and Applications 1999 (1999).
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Artikel
| Veröffentlicht
| Englisch
Autor*in
Cottin, Claudia
;
Gavrea, Ioan;
Gonska, Heiner;
Kacsó, Daniela P;
Zhou, Ding-Xuan
;
Gavrea, Ioan;
Gonska, Heiner;
Kacsó, Daniela P;
Zhou, Ding-XuanAbstract
In the center of our paper are two counterexamples showing the independence of the concepts of global smoothness preservation and variation diminution for sequences of approximation operators. Under certain additional assumptions it is shown that the variation-diminishing property is the stronger one. It is also demonstrated, however, that there are positive linear operators giving an optimal pointwise degree of approximation, and which preserve global smoothness, monotonicity and convexity, but are not variation-diminishing.
Erscheinungsjahr
Zeitschriftentitel
Journal of Inequalities and Applications
Band
1999
Zeitschriftennummer
2
Artikelnummer
126510
ISSN
FH-PUB-ID
Zitieren
Cottin, Claudia ; Gavrea, Ioan ; Gonska, Heiner ; Kacsó, Daniela P ; Zhou, Ding-Xuan: Global smoothness preservation and the variation-diminishing property. In: Journal of Inequalities and Applications Bd. 1999, Springer Science and Business Media LLC (1999), Nr. 2
Cottin C, Gavrea I, Gonska H, Kacsó DP, Zhou D-X. Global smoothness preservation and the variation-diminishing property. Journal of Inequalities and Applications. 1999;1999(2). doi:10.1155/S1025583499000314
Cottin, C., Gavrea, I., Gonska, H., Kacsó, D. P., & Zhou, D.-X. (1999). Global smoothness preservation and the variation-diminishing property. Journal of Inequalities and Applications, 1999(2). https://doi.org/10.1155/S1025583499000314
@article{Cottin_Gavrea_Gonska_Kacsó_Zhou_1999, title={Global smoothness preservation and the variation-diminishing property}, volume={1999}, DOI={10.1155/S1025583499000314}, number={2126510}, journal={Journal of Inequalities and Applications}, publisher={Springer Science and Business Media LLC}, author={Cottin, Claudia and Gavrea, Ioan and Gonska, Heiner and Kacsó, Daniela P and Zhou, Ding-Xuan}, year={1999} }
Cottin, Claudia, Ioan Gavrea, Heiner Gonska, Daniela P Kacsó, and Ding-Xuan Zhou. “Global Smoothness Preservation and the Variation-Diminishing Property.” Journal of Inequalities and Applications 1999, no. 2 (1999). https://doi.org/10.1155/S1025583499000314.
C. Cottin, I. Gavrea, H. Gonska, D. P. Kacsó, and D.-X. Zhou, “Global smoothness preservation and the variation-diminishing property,” Journal of Inequalities and Applications, vol. 1999, no. 2, 1999.
Cottin, Claudia, et al. “Global Smoothness Preservation and the Variation-Diminishing Property.” Journal of Inequalities and Applications, vol. 1999, no. 2, 126510, Springer Science and Business Media LLC, 1999, doi:10.1155/S1025583499000314.
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