Exact inequalities for derivatives of functions of low smoothness defined on an axis and a semiaxis

Abstract

We obtain new exact inequalities of the formfor functions defined on the axis R or the semiaxis R + in the case wherefor functions defined on the axis R in the case whereand for functions of constant sign on R or R + in the case whereand in the case where r = 2, k = 1, p ∈ ∞ ( , ) 0 , q s = = ∞.