Über die Funktionen des Irrationalitätsmaßes

Nikolay G. Moshchevitin

We study two irrationality measure functions ${\psi }_{\alpha }^{[2]}(t)$ and ${\psi }_{\alpha }^{[2]\ast }(t)$ related to the "second best" approximations to a real numbers and prove some results on the struc…