A generalization of the set averaging theorem

DOI10.1134/S000143461209009XzbMath1267.26010MaRDI QIDQ1929773

E. S. Polovinkin, Grigory M. Ivanov

Publication date: 9 January 2013

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Hausdorff metricBanach spaceRiemann integralconvex compact set\(n\)-dimensional Euclidean spacenon-convex-multivalued mappingset averaging theorem

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Approximation by convex sets (52A27) Asymptotic theory of Banach spaces (46B06)

Related Items (2)

Connection between the Riemann integrability of a multi-valued function and of its convex hull ⋮ Approximate Carathéodory's theorem in uniformly smooth Banach spaces

Cites Work

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