Approximation of fuzzy numbers by nonlinear Bernstein operators of max-product kind

DOI

10.2991/eusflat.2011.61How to use a DOI?

Abstract

In this paper firstly we extend from [0, 1] to an arbitrary compact interval [a, b], the definition of the nonlinear Bernstein operators of max-product kind, B (M) n (f), n N, by proving that their order of uniform approximation to f is 1(f, 1/

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Lucian Coroianu
AU  - Sorin G. Gal
AU  - Barnabas Bede
PY  - 2011/08
DA  - 2011/08
TI  - Approximation of fuzzy numbers by nonlinear Bernstein operators of max-product kind
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 734
EP  - 741
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.61
DO  - 10.2991/eusflat.2011.61
ID  - Coroianu2011/08
ER  -