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

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