Approximation by multivariate sublinear and max-product operators
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–Szász–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.
Publication Title
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Recommended Citation
Anastassiou, G. (2019). Approximation by multivariate sublinear and max-product operators. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 113 (2), 507-540. https://doi.org/10.1007/s13398-018-0491-2
