Approximation by max-product operators of Kantorovich type
Dedicated to Professor Heiner Gonska on the occasion of his 70th anniversary.
DOI:
https://doi.org/10.24193/subbmath.2019.2.07Keywords:
Max-product operators, max-product operators of Kantorovich kind, uniform approximation, shape preserving properties, localization results, max-product Kantorovich-Choquet operators.Abstract
We associate to various linear Kantorovich type approximation operators, nonlinear max-product operators for which we obtain quantitative approximation results in the uniform norm, shape preserving properties and localization results.
Mathematics Subject Classification (2010): 41A35, 41A25, 41A20.
References
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Coroianu, L., Gal, S.G., Approximation by max-product operators of Kantorovich- Choquet type based on generalized (ϕ, ψ)-kernels, in preparation.
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Gal, S.G., Shape-Preserving Approximation by Real and Complex Polynomials, XIV+352 pp., Birkha¨user, Boston, Basel, Berlin, 2008.
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