Characterizations of convex vector functions and optimization.
Characterizations of sum form information measures on open domains.
Conditions implying the summability of approximate derivatives
Continuity properties relative to the intermediate point in a mean value theorem.
Continuous-, derivative-, and differentiable-restrictions of measurable functions
We review the known facts and establish some new results concerning continuous-restrictions, derivative-restrictions, and differentiable-restrictions of Lebesgue measurable, universally measurable, and Marczewski measurable functions, as well as functions which have the Baire properties in the wide and restricted senses. We also discuss some known examples and present a number of new examples to show that the theorems are sharp.
Correction to: An asymptotic form of Cauchy's functional equation; Volume 24, 2/3 (1982). (Short Communication).
Density covers
Derivácia a spojitosť
Derivates for symmetric functions
Détermination de la valeur-limite d'une intégrale qui se présente dans la théorie des séries trigonométriques
Devil's staircases, ramps, humps and roller coasters
Diamond- Jensen's inequality on time scales.
Die höheren Ableitungen zusammengesetzter Funktion
Different aspects of differentiability [Book]
Differentation along algebras.
Differentiability of Polynomials over Reals
In this article, we formalize in the Mizar system [3] the notion of the derivative of polynomials over the field of real numbers [4]. To define it, we use the derivative of functions between reals and reals [9].
Differentiation of n-convex functions
The main result of this paper is that if f is n-convex on a measurable subset E of ℝ, then f is n-2 times differentiable, n-2 times Peano differentiable and the corresponding derivatives are equal, and except on a countable set. Moreover is approximately differentiable with approximate derivative equal to the nth approximate Peano derivative of f almost everywhere.
Distant bounded variation and products of derivatives
Dynamical properties of maps derived from maps with strong negative Schwarzian derivative.
Ein Approximationssatz für konvexe Körper.