Assume
\n\\begin{enumerate}
\n\\item $F$ and\u00a0 $f$ are non-negative\u00a0 $2\\pi$ periodic function that do not vanish identically.
\n\\item $F$ is integrable on\u00a0 $S_{1}$ and satisfies the orthogonality conditions
\n$${\\int}_{S_{1}}F(\\theta)\\cos\\theta d\\theta=0={\\int}_{S_{1}}F(\\theta)\\sin\\theta d\\theta.$$
\n\\item $f\\in H^{1}(S_{1}).$
\n\\end{enumerate}
\nThen
\n$${\\int}_{S_{1}}F(\\theta) d\\theta{\\int}_{S_{1}}f(\\theta) d\\theta\\geq 2\\pi{\\int}_{S_{1}}F(\\theta)f(\\theta) d\\theta.$$<\/p>\n","protected":false},"excerpt":{"rendered":"
Assume \\begin{enumerate} \\item $F$ and\u00a0 …<\/p>\n