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Quantitative approximation by nonlinear convolution operators of Landau-Choquet type

Quantitative approximation by nonlinear convolution operators of Landau-Choquet type

By using the concept of Choquet nonlinear integral with respect to a monotone set function, we introduce the nonlinear convolution operators of Landau-Choquet type, with respect to a family of submodular set functions. Quantitative approximation results in terms of the modulus of continuity are obtained with respect to some particular …