Miklos Schweitzer 1963_7
Source:
September 19, 2008
functionintegrationabsolute valuereal analysisreal analysis unsolved
Problem Statement
Prove that for every convex function defined on the interval \minus{}1\leq x \leq 1 and having absolute value at most ,
there is a linear function such that \int_{\minus{}1}^1|f(x)\minus{}h(x)|dx\leq 4\minus{}\sqrt{8}. [L. Fejes-Toth]