Ordinary and Fractional Approximation by Non-additive Integrals: Choquet, Shilkret and Sugeno Integral Approximators

Abstract

Approximation with rates by Kantorovich-Choquet quasi-interpolation neural network operators -- Approximation with rates by Perturbed Kantorovich-Choquet Neural Network Operators -- Approximation with rates by Shift Invariant Univariate Sublinear-Choquet Operators -- Approximation with rates by Shift Invariant Multivariate Sublinear-Choquet Operators -- Hardy type inequalities for Choquet integrals -- Quantitative Approximation by Choquet integrals -- Conformable Fractional Approximation by Choquet integrals -- Multivariate and Convex Quantitative Approximation by Choquet integrals -- Caputo and Canavati fractional Quantitative Approximation by Choquet integrals -- Mixed Conformable and Iterated fractional Quantitative Approximation by Choquet integrals.