Constructive representations of certain closest approximations

DOI10.1007/BF01765152zbMath0502.28006MaRDI QIDQ1172709

William D. L. Appling

Publication date: 1982

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

absolute continuityvariation normconstructive representations of nearest pointsintegral representation, refinement continuityreal-valued bounded finitely additive functionsset function integrals

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Spaces of measures, convergence of measures (28A33) Spaces of measures (46E27) Approximation by other special function classes (41A30) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (2)

min and max functions, Bochner-Radon-Nikodým approximations, and a representation characterization ⋮ Zero-one set functions and absolute continuity

Cites Work

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• Integrability and closest approximation representations
• Set functions, finite additivity and distribution functions
• Some continuity properties of upper and lower integral difference functionals
• Upper and lower integral difference functionals, closest approximations, and integrability
• Some Integral Characterizations of Absolute Continuity
• Integral Representations and Refinement-Unboundedness

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