In this paper, we give new characterizations of exponential distributions on positive semigroups and we study the corresponding gamma distributions that govern semigroup products of independent and ...

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 ...

The Lambert W function, defined as the inverse of the function W ↦ W e^W, plays a crucial role in resolving equations where the variable appears both in linear and exponential forms. Its mathematical ...