Geodesic
Sharpening an Estimate of the Size
Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 902-905.

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A finite set $A=\{a_1\dotsb$ is said to be convex if the sequence $(a_i-a_{i-1})_{i=2}^n$ is strictly increasing. Using an estimate of the additive energy of convex sets, one can estimate the size of the sumset as $|A+A|\gtrsim|A|^{102/65}$, which slightly sharpens Shkredov's latest result $|A+A|\gtrsim|A|^{58/37}$.
Keywords: additive combinatorics, sumset, convex sets, convex sequences. 
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K. I. Olmezov. Sharpening an Estimate of the Size. Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 902-905. http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a9/

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