Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information, and ...

A new nonparametric estimate of a convex regression function is proposed and its stochastic properties are studied. The method starts with an unconstrained estimate of the derivative of the regression ...

In this paper, the inequalities for the weighted mean of r-convex functions are established. As applications, inequalities between the two-parameter mean of an r-convex function and extended mean ...