Sätze des Khintchine Typus für Mengenfunktionen
Second order differentiability and Lipschitz smooth points of convex functionals
Separation via quadratic functions.
Separation via quadratic functions. (Summary).
Smooth Cantor functions
We characterise the set on which an infinitely differentiable function can be locally polynomial.
Smoothness in disjoint groups of real functions under composition.
Some applications of Kurzweil-Henstock integration
Applications of ideal from Kurzweil-Henstock integration to elementary analysis on , mean value theorems for vector valued functions, l’Hospital rule, theorems of Taylor type and path independence of line integrals are discussed.
Some mean value theorems as consequences of the Darboux property
The aim of the paper is to present some mean value theorems obtained as consequences of the intermediate value property. First, we will prove that any nonextremum value of a Darboux function can be represented as an arithmetic, geometric or harmonic mean of some different values of this function. Then, we will present some extensions of the Cauchy or Lagrange Theorem in classical or integral form. Also, we include similar results involving divided differences. The paper was motivated by some problems...
Some Mean-Value Theorems of the Cauchy Type
2000 Mathematics Subject Classification: Primary 26A24, 26D15; Secondary 41A05Some mean-value theorems of the Cauchy type, which are connected with Jensen’s inequality, are given in [2] in discrete form and in [5] in integral form. Several further generalizations and applications of these results are presented here.
Some properties of real functions of two variables and some consequences
Some remarks on sub-differential calculus.
Mean value inequalities are shown for functions which are sub- or super-differentiable at every point.
Some reproducing identities for families of mean values.
Sommes de carrés de fonctions dérivables
On montre que toute fonction positive de classe définie sur un intervalle de est somme de deux carrés de fonctions de classe . En dimension 2, toute fonction positive de classe est somme d’un nombre fini de carrés de fonctions de classe , pourvu que ses dérivées d’ordre 4 s’annulent aux points où et s’annulent.
Stability in the -norm and -norm of classes of Lipschitz functions of one variable.
Strong essential cluster sets.
Sur la dérivabilité des fonctions à variation bornée
Sur la dérivation k-pseudo-symétrique des fonctions numériques
Sur la distribution des fonctions dérivées.
Sur la structure de l'ensemble des points où une fonction continue n'admet pas de dérivée symétrique [Book]
Sur le passage des différences aux différentielles