We study the operator H f(x) = 2-x ∫+∞ 0 2y f(y)/x - y dy on Lorentz spaces on R+ with respect to the measure 4x dx. This is related to the harmonic analysis of ...

In this paper, we defined and studied the concept of exponential type multiplicatively convex functions and some of their algebraic properties. We derived Hermite-Hadamard inequalities for this class ...