Multivariate and convex approximation by Choquet integrals

DOI10.1007/S13398-018-0554-4zbMath1416.41011OpenAlexW2804406489MaRDI QIDQ2314671

George A. Anastassiou

Publication date: 29 July 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-018-0554-4

zbMATH Keywords

convexityChoquet integralmodulus of continuityJackson type inequalityBernstein-Kantorovich-Choquet and Bernstein-Durrmeyer-Choquet operatorscomonotonicity of functions and operatorsunivariate and multivariate results

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Cites Work

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• Uniform and pointwise quantitative approximation by Kantorovich-Choquet type integral operators with respect to monotone and submodular set functions
• Theory of capacities
• Generalized Measure Theory
• Subjective Probability and Expected Utility without Additivity
• Integral Representation Without Additivity

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