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math.FA2024
Sampling discretization in Orlicz spaces
Egor Kosov, Sergey Tikhonov
We obtain new sampling discretization results in Orlicz norms on finite dimensional spaces. As applications, we study sampling recovery problems, where the error of the recovery pr…
math.FA2022
Functional analogs of the Shephard, Busemann-Petty, and Milman problems
Vadim Gorev, Egor Kosov
The paper studies possible functional analogs of classical problems from convex geometry. In particular, we provide some bounds in the functional Shephard, Busemann-Petty, and Milm…