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Approximation by fuzzy B-spline series
Authors:Petru Blaga  Barnabás Bede
Institution:1. Department of Applied Mathematics, University “Babes-Bolyai”, Cluj-Napoca, Mihail Koglniceanu no. 1, 400084, Cluj-Napoca, Romania
2. Department of Mathematics and Informatics, University of Oradea, Armatei Romane no. 5, 410087, Oradea, Romania
3. Department of Mechanical and System Engineering, Budapest Tech, Nepszinhaz u. 8, H-1081, Budapest, Hungary
Abstract:We study properties concerning approximation of fuzzy-number-valued functions by fuzzy B-spline series. Error bounds in approximation by fuzzy B-spine series are obtained in terms of the modulus of continuity. Particularly simple error bounds are obtained for fuzzy splines of Schoenberg type. We compare fuzzy B-spline series with existing fuzzy concepts of splines.
Keywords:
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