Abstract
In this paper, the standard Jensen inequality for two points and convex functions is generalized to a version for four points satisfying Sherman’s majorization condition and for G-invariant convex functions, where G is a subgroup of the orthogonal group acting on an inner product space. A control map is used. A comparison of the obtained inequality and Jensen inequality is presented.
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Niezgoda, M. A Jensen–Sherman type inequality with a control map for G-invariant convex functions. Positivity 25, 431–446 (2021). https://doi.org/10.1007/s11117-020-00769-3
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DOI: https://doi.org/10.1007/s11117-020-00769-3