The Turán-type inequality in the space L0 on the unit interval

A lower bound for the L_2[-1,1]-norm of the logarithmic derivative of polynomials with zeros on the unit circle

“…whose proof uses P. Borwein's result [3]. Estimates ( 7)-( 9) are useful in constructing P. Turán type inequalities on a segment, see [10], [6], [11], [9]. For example, it was shown by the author [10] that (7) implies…”