This is a preview. Log in through your library . Abstract The convolution of two φ-convex functions is estimated by means of an inequality of Hadamard type. The sharpness of this inequality is ...

Titchmarsh's convolution theorem states that if the functions f, g vanish on (-∞, 0) and if the convolution f * g(t) = 0 on an interval (0, T), then there are two numbers α, β ≥ 0 such that α + β = T, ...