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math.CA2023★ 1 cited
Hermite--Hadamard inequalities for nearly-spherical domains
Noah Kravitz, Mitchell Lee
A conjecture of Pasteczka, generalizing the classical Hermite--Hadamard Inequality, states that if is a compact convex domain such that and $\partial…
math.CA2017
Refining the Two-Dimensional Signed Small Ball Inequality
Noah Kravitz
The two-dimensional signed small ball inequality states that for all possible choices of signs, $$ \left\| \sum_{|R| = 2^{-n}}{ \varepsilon_R h_R} \right\|_{L^{\infty}} \gtrsim n,$…