Author:
Coroianu Lucian,Gal Sorin G.
Abstract
The aim of this note is that by using the so-called max-product method, to associate to the Hermite-Fejer polynomials based on the Chebyshev knots of first kind, a new interpolation operator for which a Jackson-type approximation order in terms of \(\omega_{1}(f; 1/n)\) is obtained.
Publisher
Academia Romana Filiala Cluj
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis,Mathematics (miscellaneous)
Reference17 articles.
1. Bede, B. and Gal, S.G., Approximation by nonlinear Bernstein and Favard-Szász-Mirakjan operators of max-product kind, Journal of Concrete and Applicable Mathematics, 8, No. 2, pp. 193-207, 2010.
2. Bede, B., Coroianu, L. and Gal, S.G., Approximation and shape preserving properties of the Bernstein operator of max-product kind, Intern. J. Math. and Math. Sci., volume 2009, Article ID 590589, 26 pages, doi:10.1155/2009/590589.
3. Bede, B., Coroianu, L. and Gal, S.G., Approximation by truncated nonlinear Favard-Szász-Mirakjan operators of max-product kind, Demonstratio Mathematica, (accepted for publication).
4. Bede, B., Coroianu, L. and Gal, S.G., Approximation and shape preserving properties of the nonlinear Baskakov operator of max-product kind, Studia Univ. "Babeş-Bolyai", Ser. Math., LV, pp. 193-218, 2010.
5. Bede, B., Coroianu, L. and Gal, S.G., Approximation and shape preserving properties of the nonlinear Bleimann-Butzer-Hahn operators of max-product kind, Comment. Math. Univ. Carol., 51 no. 3, pp. 397-415, 2010.
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