Regularization of derivatives on non-differentiable points

On distribution functions of the derivatives of weakly differentiable mappings

on the effect of linear & non-linear texts on students comprehension and recalling

چکیده ندارد.

On the Set of Fixed Points and Periodic Points of Continuously Differentiable Functions

The set of periodic points of self-maps of intervals has been studied for different reasons. The functions with smaller sets of periodic points are more likely not to share a periodic point. Of course, one has to decide what “big” or “small” means and how to describe this notion. In this direction one would be interested in studying the size of the sets of periodic points of self-maps of an int...

Generalized Derivatives for Solutions of Parametric Ordinary Differential Equations with Non-differentiable Right-Hand Sides

Sensitivity analysis provides useful information for equation-solving, optimization, and post-optimality analysis. However, obtaining useful sensitivity information for systems with nonsmooth dynamic systems embedded is a challenging task. In this article, for any locally Lipschitz continuous mapping between finitedimensional Euclidean spaces, Nesterov’s lexicographic derivatives are shown to b...

On the Fractional Derivatives at Extreme Points

We correct a recent result concerning the fractional derivative at extreme points. We then establish new results for the Caputo and Riemann-Liouville fractional derivatives at extreme points.