We show that every continuously differentiable function in several variables with a global Lipschitz derivative on a compact convex set with interior points has a separation property. It separates two classes of quadratic functions given in terms of either the function\u27s convexifiers or its concavifiers. The separation is used to obtain new global characterizations of the derivative and zero derivative points
summary:Equivalent conditions for the separability of the range of the subdifferential of a given co...
The class of linearly continuous functions f:Rn--\u3eR, that is, having continuous restrictions f|L ...
We show that if X is a Banach space whose dual X* has an equivalent locally uniformly rotund (LUR) n...
Many real life situations can be described using twice continuously differentiable functions over co...
Every smooth function in several variables with a Lipschitz derivative, when considered on a compact...
Many real life situations can be described using twice continuously differentiable functions over co...
The derivative of a function f in n variables at a point x* is one of the most important tools in ma...
The goal of the paper is to study the particular class of regularly ${\mathcal{H}}$-convex functions...
summary:Equivalent conditions for the separability of the range of the subdifferential of a given co...
summary:Equivalent conditions for the separability of the range of the subdifferential of a given co...
AbstractDavid Preiss proved that every locally Lipschitz function on an open subset of a Banach spac...
The derivative of a function f in n variables at a point x* is one of the most important tools in ma...
AbstractDavid Preiss proved that every locally Lipschitz function on an open subset of a Banach spac...
The derivative of a function f in n variables at a point x* is one of the most important tools in ma...
AbstractIn this paper we show that for every nonempty convex compact subset K of a finite dimensiona...
summary:Equivalent conditions for the separability of the range of the subdifferential of a given co...
The class of linearly continuous functions f:Rn--\u3eR, that is, having continuous restrictions f|L ...
We show that if X is a Banach space whose dual X* has an equivalent locally uniformly rotund (LUR) n...
Many real life situations can be described using twice continuously differentiable functions over co...
Every smooth function in several variables with a Lipschitz derivative, when considered on a compact...
Many real life situations can be described using twice continuously differentiable functions over co...
The derivative of a function f in n variables at a point x* is one of the most important tools in ma...
The goal of the paper is to study the particular class of regularly ${\mathcal{H}}$-convex functions...
summary:Equivalent conditions for the separability of the range of the subdifferential of a given co...
summary:Equivalent conditions for the separability of the range of the subdifferential of a given co...
AbstractDavid Preiss proved that every locally Lipschitz function on an open subset of a Banach spac...
The derivative of a function f in n variables at a point x* is one of the most important tools in ma...
AbstractDavid Preiss proved that every locally Lipschitz function on an open subset of a Banach spac...
The derivative of a function f in n variables at a point x* is one of the most important tools in ma...
AbstractIn this paper we show that for every nonempty convex compact subset K of a finite dimensiona...
summary:Equivalent conditions for the separability of the range of the subdifferential of a given co...
The class of linearly continuous functions f:Rn--\u3eR, that is, having continuous restrictions f|L ...
We show that if X is a Banach space whose dual X* has an equivalent locally uniformly rotund (LUR) n...