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- W2904504808 abstract "Here we present the quantitative approximation of positive sublinear operators to the unit operator. These are given a precise Choquet integral interpretation. Initially we start with the study of the rate of the convergence of the well-known Bernstein–Kantorovich–Choquet and Bernstein–Durrweyer–Choquet polynomial Choquet-integral operators. Then we study the very general comonotonic positive sublinear operators based on the representation theorem of [9]. We finish with the approximation by the very general direct Choquet-integral form positive sublinear operators. All approximations are given via inequalities involving the modulus of continuity of the approximated function or its higher order derivative." @default.
- W2904504808 created "2018-12-22" @default.
- W2904504808 creator A5015220542 @default.
- W2904504808 date "2018-12-07" @default.
- W2904504808 modified "2023-09-25" @default.
- W2904504808 title "Quantitative Approximation by Choquet Integrals" @default.
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- W2904504808 doi "https://doi.org/10.1007/978-3-030-04287-5_6" @default.
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