Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators pp 189-227 | Cite as
High Order Approximation by Multivariate Sublinear and Max-Product Operators
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Abstract
Here we study quantitatively the approximation of multivariate function by general multivariate positive sublinear operators with applications to multivariate Max-product operators. These are of Bernstein type, of Favard–Sz ász–Mirakjan type, of Baskakov type, of sampling type, of Lagrange interpolation type and of Hermite–Fejér interpolation type. Our results are both: under the presence of smoothness and without any smoothness assumption on the function to be approximated. It follows (Anastassiou, Approximation by Multivariate Sublinear and Max-Product Operators, 2017, submitted, [4]).
References
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- 3.G. Anastassiou, Approximation by Max-Product Operators (2017, submitted)Google Scholar
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- 5.B. Bede, L. Coroianu, S. Gal, Approximation by Max-Product Type Operators (Springer, Heidelberg, 2016)Google Scholar
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