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Titlebook: Ordinary and Fractional Approximation by Non-additive Integrals: Choquet, Shilkret and Sugeno Integr; George A. Anastassiou Book 2019 Spri

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https://doi.org/10.1007/978-3-030-04287-5Non-Additive Integrals Neural Network Operators; Choquet Integral Approximators; Shilkret Integral App
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,Approximation with Rates by Kantorovich–Choquet Quasi-interpolation Neural Network Operators,th respect to supremum norm. This is done with rates using the first univariate and multivariate moduli of continuity. We approximate continuous and bounded functions on . .. When they are also uniformly continuous we have pointwise and uniform convergences. It follows [.].
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Mixed Conformable and Iterated Fractional Quantitative Approximation by Choquet Integrals, given a precise Choquet integral interpretation. Initially we start with the research of the mixed conformable and iterated fractional rate of the convergence of the well-known Bernstein-Kantorovich–Choquet and Bernstein–Durrweyer–Choquet polynomial Choquet-integral operators.
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George A. AnastassiouPresents a range of original approaches to approximation.All chapters are self-contained and can be read independently.Provides a deeper formal analysis of several issues that are relevant to decision
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Springer Nature Switzerland AG 2019
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Approximation with Rates by Shift Invariant Univariate Sublinear-Choquet Operators,he unit with rates. Furthermore, two examples of very general specialized operators are presented fulfilling all the above properties, the higher order of approximation of these operators is also studied. It follows [.].
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Hardy Type Inequalities for Choquet Integrals,ölder’s inequalities for more than two functions and a multivariate Choquet–Fubini’s theorem. The main proving tool here is the property of comonotonicity of functions. We finish with independent estimates on left and right Riemann–Liouville–Choquet fractional integrals.
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