Global smoothness preservation by some nonlinear max-product operators
Approximation and shape preserving properties of the nonlinear Bleimann-Butzer-Hahn operators of max-product kind
Starting from the study of the Shepard nonlinear operator of max-prod type in (Bede, Nobuhara et al., 2006, 2008), in the book (Gal, 2008), Open Problem 5.5.4, pp. 324–326, the Bleimann-Butzer-Hahn max-prod type operator is introduced and the question of the approximation order by this operator is raised. In this paper firstly we obtain an upper estimate of the approximation error of the form . A consequence of this result is that for each compact subinterval , with arbitrary , the order of uniform...
Approximation and shape preserving properties of the Bernstein operator of max-product kind.
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