On non-additive probabilistic inequalities of Hölder-type

DOI10.1007/s00025-010-0087-4zbMath1404.28025OpenAlexW2034981192MaRDI QIDQ1758335

Hamzeh Agahi, Esfandiar Eslami, Adel Mochammadpour

Publication date: 9 November 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-010-0087-4

zbMATH Keywords

Hölder's inequalityChebyshev's inequalityMinkowski's inequalitynonadditive measurecomonotone functionssemiconormed non-additive integralseminormed non-additive integral

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Fuzzy measure theory (28E10)

Related Items (6)

Predictive tools in data mining and \(k\)-means clustering: universal inequalities ⋮ The smallest semicopula-based universal integrals. I: Properties and characterizations ⋮ Generalizations of some probability inequalities and \(L^{p}\) convergence of random variables for any monotone measure ⋮ Hölder-Minkowski type inequality for generalized Sugeno integral ⋮ Hölder type integral inequalities with different pseudo-operations ⋮ General form of Chebyshev type inequality for generalized Sugeno integral

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