Localization results for the Bernstein max-product operator

Applied Mathematics and Computation

Volumn 231, Issue , 2014, Pages 73-78

  Coroianu, Lucian ^a   Gal, Sorin G ^a  

^a UNIVERSITY OF ORADEA   (Romania)

Author keywords

Bernstein max product operator; Local direct result; Localization result

Indexed keywords

APPROXIMATION OF FUZZY NUMBERS; EXPERIMENTAL SCIENCE; LOCAL DIRECT RESULT; LOCALIZATION RESULT; MAX-PRODUCT; STRONG LOCALIZATIONS;

FUZZY SETS; IMAGE PROCESSING;

COMPUTER PROGRAMMING;

EID: 84893234845     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2013.12.190     Document Type: Article

References (12)

1. B. Bede, L. Coroianu, and S.G. Gal Approximation and shape preserving properties of the Bernstein operator of max-product kind Int. J. Math. Math. Sci. 2009 2009 26p (Article ID 590589)
2. B. Bede, L. Coroianu, and S.G. Gal Approximation of fuzzy numbers by nonlinear Bernstein operators of max-product kind Proceedings of EUSFLAT-LFA 2011, Aix-les-Bains, France Series in Advances in Intelligent Systems Research 2011 European Society For Fuzzy Logic and Technology 734 741 10.2991/eusflat.2011.61
3. B. Bede, E.D. Schwab, H. Nobuhara, and I.J. Rudas Approximation by Shepard type pseudo-linear operators and applications to image processing Int. J. Approx. Reason. 50 2009 21 36
4. L. Coroianu, and S.G. Gal Classes of functions with improved estimates in approximation by the max-product Bernstein operator Anal. Appl. 9 3 2011 249 274
5. L. Coroianu, and S.G. Gal Approximation by nonlinear generalized sampling operators of max-product kind Sampl. Theory Signal Image Process. 9 1-3 2010 59 75
6. L. Coroianu, and S.G. Gal Approximation by max-product sampling operators based on sinc-type kernels Sampl. Theory Signal Image Process. 10 3 2011 211 230
7. L. Coroianu, and S.G. Gal Approximation by max-product Lagrange interpolation operators Studia Univ. Babes-Bolyai, Ser. Math. LVI 2 2011 1 11
8. L. Coroianu, and S.G. Gal Approximation by nonlinear Hermite-Feér interpolation operators of max-product kind on Chebyshev nodes Rev. d' Anal. Numér. Théor. Approx. (Cluj) 39 1 2010 21 31
9. R.A. DeVore, and G.G. Lorentz Constructive Approximation 1993 Springer-Verlag Berlin, Heidelberg
10. S.G. Gal Shape-Preserving Approximation by Real and Complex Polynomials 2008 Birkhäuser Boston, Basel, Berlin
11. S. Karakus, and K. Demirci Statistical approximation to max-product operators Comput. Math. Appl. 61 4 2011 1024 1031
12. T. Popoviciu Deux remarques sur les fonctions convexes Bull. Soc. Sci. Acad. Roumaine 220 1938 45 49