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- W1489228478 abstract "Let S be a subset of all convex expectations containing all linear expectations. We prove that $mathcal{E}$ is a minimal member of S if and only if $mathcal{E}$ is a linear expectation. Let S be the set of all those convex expectations which are bigger than a concave expectation (resp. less than a convex expectation, sandwiched between a convex expectation and a concave expectation). We show that $mathcal{E}$ is a minimal member of S if and only if $mathcal{E}$ is a linear expectation with the same constraints as above, respectively. This paper overcomes the deficiencies in the proofs of the main theorems in Huang and Jia (J. Math. Anal. Appl. 376:42-50, 2011) and generalizes the results in Huang and Jia (J. Math. Anal. Appl. 376:42-50, 2011)." @default.
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- W1489228478 date "2015-06-12" @default.
- W1489228478 modified "2023-10-18" @default.
- W1489228478 title "On the minimal members of convex expectations with constraints" @default.
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- W1489228478 doi "https://doi.org/10.1186/s13660-015-0718-0" @default.
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