Abstract
We present the following set-valued analogue of the Hadamard inequality: Let Y be a Banach space, I be an open interval and let F: I ↦ cl(Y) be a continuous and convex set-valued function. Then
, for every a, b ∈ I, a < b. Some refinement of Jensen inequality for set-valued functions is also given.
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Sadowska, E. Hadamard Inequality and a Refinement of Jensen Inequality for Set—Valued Functions. Results. Math. 32, 332–337 (1997). https://doi.org/10.1007/BF03322144
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DOI: https://doi.org/10.1007/BF03322144