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Dec 31, 2020 at 17:13 history bounty awarded WCMC
Dec 31, 2020 at 17:12 vote accept Tan
Dec 29, 2020 at 1:19 comment added John L @tchainzzz yes, that is the reference and that has the correct bound.
Dec 28, 2020 at 22:45 comment added chang_trenton Is this the resource you're talking about? core.ac.uk/download/pdf/82733855.pdf (written by 2 of the same authors). They do prove the $1/\sqrt{3} \cdot \sigma$ bound that you're talking about (Thm. 6, p. 605) after the above theorem you posted (Thm. 5, p. 604) -- then that inequality is equivalent to what OP wants to show.
Dec 28, 2020 at 17:23 history edited John L CC BY-SA 4.0
changed format for fraction 1/2
Dec 28, 2020 at 16:54 history answered John L CC BY-SA 4.0