Testing convexity on the line is tightly Θ(log(εn)/ε), with no adaptivity advantage, but the paper's adaptive stripe tester has a flaw that breaks the exponential separation as stated.
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Testing convexity of functions over finite domains
Testing convexity on the line is tightly Θ(log(εn)/ε), with no adaptivity advantage, but the paper's adaptive stripe tester has a flaw that breaks the exponential separation as stated.