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Lieferstatus:	Vorankündigung
Veröffentlichung:	ANGEKÜNDIGT (Juli 2026)
Genre:	Schulbücher
	Approximations and Expansions / Choquet integrals / Differentialrechnung und -gleichungen / Functional Analysis / Functional analysis for monotone sublinear operators / Integralrechnung und -gleichungen / Korovkin type theorems for monotone sublinear operators / Measure and Integration / Nonlinear Choquet type integral equations and operators / Quantitative approximations by Choquet integral operators mehr...
ISBN:	9783031717000
EAN-Code:	9783031717000
Verlag:	Springer International Publishing
Einband:	Kartoniert
Sprache:	English
Dimensionen:	H 240 mm / B 168 mm / D
Seiten:	227
Illustration:	XV, 227 p. 1 illus. in color., farbige Illustrationen
Zus. Info:	EUDR exemption - product or manufacturing materials placed on the market prior to 31.12.2025.
Bewertung:	Keine Bewertung vor Veröffentlichung möglich.

Inhalt:

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.