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Jensen's inequality for conditional expectations in Banach spaces

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Publication:1852393
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zbMath1010.60020MaRDI QIDQ1852393

August Michał Zapała

Publication date: 5 January 2003

Published in: Real Analysis Exchange (Search for Journal in Brave)


zbMATH Keywords

convex functionconditional expectationJensen's inequalityGaussian random element


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Probability theory on linear topological spaces (60B11) Inequalities involving other types of functions (26D07) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)


Related Items (3)

Partial functional quantization and generalized bridges ⋮ Random walk in balls and an extension of the Banach integral in abstract spaces ⋮ A refined Jensen's inequality in Hilbert spaces and empirical approximations




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