Several important multivariate probability inequalities can be formulated in terms of multivariate convolutions of the form ∫ $f_{1}(x)f_{2}(x-\theta )dx$, where ...

In [14], Reich posed the following question: Let (X, d) be a complete metric space, and let T : X → CB(X) satisfy H(Tx, Ty) ≤ k[d(x, y)]d(x, y) for all x, y ∊ X with x ≠ y, where k is a function of (0 ...

A decades-old rule in mathematics has just been pushed beyond its long-standing limits, opening new ground for how scientists describe the physical world. At the University of Vaasa in Finland, ...

Convergence theorems form the backbone of probability theory and statistical inference, ensuring that sequences of random variables behave in a predictable manner as their index grows. These theorems, ...