Lemma di Jordan: differenze tra le versioni

:<math>0\leq\left|\int_{\gamma_R}f(z)e^{i\omega z}dz\right|\leq\int_{\theta_1}^{\theta_2}\left|f(Re^{it})e^{i\omega Re^{it}}i\omega R\right|dt\leq\omega R\int_{\theta_1}^{\theta_2}\left|f(Re^{it})\right|\cdot\left|e^{i\omega Re^{it}}\right|dt\leq M_R\omega R\int_{\theta_1}^{\theta_2}\left|e^{i\omega Re^{it}}\right|dt</math>

in particolare

:<math>\left|e^{i\omega Re^{it}}\right|=\left|e^{\omega Ri(\cos t+i\sin t)}\right|=\left|e^{\omega R(i\cos t-\sin t)}\right|\leq e^{-\omega R\cos t}</math>

quindi