We give a Bellman proof of Bobkov’s inequality using arguments of dynamic programming. As a byproduct of the method we obtain a characterization of smooth optimizers.
CITATION STYLE
Barthe, F., & Ivanisvili, P. (2020). Bobkov’s inequality via optimal control theory. In Lecture Notes in Mathematics (Vol. 2256, pp. 49–61). Springer. https://doi.org/10.1007/978-3-030-36020-7_3
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