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An axiomatic integral and a multivariate mean value theorem

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Publication:262826
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DOI10.1186/S13660-015-0866-2zbMath1334.26030arXiv1506.05551OpenAlexW1878197337WikidataQ59427811 ScholiaQ59427811MaRDI QIDQ262826

Milan J. Merkle

Publication date: 30 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05551


zbMATH Keywords

convex hullfinitely additive measureDaniell integralintegral means


Mathematics Subject Classification ID

Means (26E60) Convexity of real functions of several variables, generalizations (26B25)





Cites Work

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  • Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem. II: High dimensional problems
  • On the equivalence of conglomerability and disintegrability for unbounded random variables
  • Dominating countably many forecasts
  • A mean value theorem for systems of integrals
  • An Axiomatic Approach to the Integral
  • Finitely Additive Measures
  • On an integral inequality




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