13 citations · 70 across the 13 of their papers we have counts for
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math.PR2017★ 9 cited
On the convex Poincaré inequality and weak transportation inequalities
Radosław Adamczak, Michał Strzelecki
We prove that for a probability measure on , the Poincaré inequality for convex functions is equivalent to the weak transportation inequality with a quadratic-linear…
math.PR2017★ 5 cited
On the convex infimum convolution inequality with optimal cost function
Marta Strzelecka, Michał Strzelecki, Tomasz Tkocz
We show that every symmetric random variable with log-concave tails satisfies the convex infimum convolution inequality with an optimal cost function (up to scaling). As a result,…
math.PR2017★ 7 cited
A characterization of a class of convex log-Sobolev inequalities on the real line
Yan Shu, Michał Strzelecki
We give a sufficient and necessary condition for a probability measure on the real line to satisfy the logarithmic Sobolev inequality for convex functions. The condition is exp…