Choquet Integral and Monotone Sublinear Operators
About Choquet Integral and Monotone Sublinear Operators
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Choquet Integral and Monotone Sublinear Operators https://WebToolTip.com English | August 10, 2026 | ISBN-10: 3031717007 | 353 pages| Epub PDF (True) | 18 MB This book is primarily addressed to graduate students and researchers interested in exploring problems connected to mathematics, statistics, finance, insurance, climate change, and machine learning. The basic tools include the capacity theory and the Choquet integral, recognized for their usefulness in fields such as potential theory and de
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Choquet Integral and Monotone Sublinear Operators
https://WebToolTip.com
English | August 10, 2026 | ISBN-10: 3031717007 | 353 pages| Epub PDF (True) | 18 MB
This book is primarily addressed to graduate students and researchers interested in exploring problems connected to mathematics, statistics, finance, insurance, climate change, and machine learning. The basic tools include the capacity theory and the Choquet integral, recognized for their usefulness in fields such as potential theory and decision making under risk and uncertainty. The book focuses on the authors' results on the relationship between the class of weakly nonlinear and monotone increasing operators and the class of Choquet-type integral operators. As an application, numerous new nonlinear extensions of the famous Korovkin theorem of approximation (as well as of Feller's scheme of approximation) are derived. The illustrations include the nonlinear operators of Bernstein-Kantorovich-Choquet, Szász-Mirakjan-Kantorovich-Choquet, Baskakov-Kantorovich-Choquet, and Picard-Choquet.
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