Addendum to the paper "Generalizations to monotonicity for uniform convergence of double sine integrals over ℝ̅ ²₊" (Studia Math. 201 (2010), 287-304)
Additions to the Telyakovskiĭ's class .
Additive and convex functions in linear topological space.
Adjoint classes of functions in the sense
Using the concept of the -integral, we consider a similarly defined Stieltjes integral. We prove a Riemann-Lebesgue type theorem for this integral and give examples of adjoint classes of functions.
Adjoint differential inclusions in necessary conditions for the minimal trajectories of differential inclusions
Affine and convex functions with respect to the logarithmic mean
The class of all functions f:(0,∞) → (0,∞) which are continuous at least at one point and affine with respect to the logarithmic mean is determined. Some related results concerning the functions convex with respect to the logarithmic mean are presented.
Affine Baire functions on Choquet simplices
We construct a metrizable simplex X such that for each n ɛ ℕ there exists a bounded function f on ext X of Baire class n that cannot be extended to a strongly affine function of Baire class n. We show that such an example cannot be constructed via the space of harmonic functions.
Affine selections of convex set-valued functions.
Algebraic and topological structures on the set of mean functions and generalization of the AGM mean
We present new structures and results on the set of mean functions on a given symmetric domain in ℝ². First, we construct on a structure of abelian group in which the neutral element is the arithmetic mean; then we study some symmetries in that group. Next, we construct on a structure of metric space under which is the closed ball with center the arithmetic mean and radius 1/2. We show in particular that the geometric and harmonic means lie on the boundary of . Finally, we give two theorems...
Algebraic properties of functions with the Cantor intermediate value property
Algebraische Beschreibung der Ableitung bei -Mal Stetig-Differenzierbaren Funktionen
Algebras of Borel measurable functions
We determine the size levels for any function on the hyperspace of an arc as follows. Assume Z is a continuum and consider the following three conditions: 1) Z is a planar AR; 2) cut points of Z have component number two; 3) any true cyclic element of Z contains at most two cut points of Z. Then any size level for an arc satisfies 1)-3) and conversely, if Z satisfies 1)-3), then Z is a diameter level for some arc.
Algoritmy na výpočet kořenů polynomu
Algunas consecuencias elementales del teorema de Weierstrass.
Almost classical solutions of Hamilton-Jacobi equations.
Almost continuous Darboux functions and Reed's pointwise convergence criteria
Almost everywhere convergence of the spherical partial Fourier integrals for radial functions.
Almost Everywhere First-Return Recovery
We present a new characterization of Lebesgue measurable functions; namely, a function f:[0,1]→ ℝ is measurable if and only if it is first-return recoverable almost everywhere. This result is established by demonstrating a connection between almost everywhere first-return recovery and a first-return process for yielding the integral of a measurable function.
Almost iterable functions.
Almost midconvex and almost convex set-valued functions