On symmetric derivatives and on properties of Zahorski
On symmetric partial derivatives an symmetric differentiability.
On Tabor's problem concerning a certain quasi-ordering of iterative roots of functions.
On the 1/2 Problem of Besicovitch: quasi-arcs do not contain sharp saw-teeth.
In this paper we give an alternative proof of our recent result that totally unrectifiable 1-sets which satisfy a measure-theoretic flatness condition at almost every point and sufficiently small scales, satisfy Besicovitch's 1/2-Conjecture which states that the lower spherical density for totally unrectifiable 1-sets should be bounded above by 1/2 at almost every point. This is in contrast to rectifiable 1-sets which actually possess a density equal to unity at almost every point. Our present method...
On the -continuity of real function. II.
On the Absolute Continuity of a Surface Representation
On the absolute convergence of small gaps Fourier series of functions of .
On the abstract Hahn-Banach theorem due to Rodé.
On the almost monotone convergence of sequences of continuous functions
A sequence (f n)n of functions f n: X → ℝ almost decreases (increases) to a function f: X → ℝ if it pointwise converges to f and for each point x ∈ X there is a positive integer n(x) such that f n+1(x) ≤ f n (x) (f n+1(x) ≥ f n(x)) for n ≥ n(x). In this article I investigate this convergence in some families of continuous functions.
On the analytic approximation of differentiable functions from above
We determine conditions in order that a differentiable function be approximable from above by analytic functions, being left invariate on a fixed analytic subset which is a locally complete intersection.
On the approximate Peano derivatives
On the approximate values of an implicitly given function
On the approximation of real continuous functions by series of solutions of a single system of partial differential equations
We prove the existence of an effectively computable integer polynomial P(x,t₀,...,t₅) having the following property. Every continuous function can be approximated with arbitrary accuracy by an infinite sum of analytic functions , each solving the same system of universal partial differential equations, namely (σ = 1,..., s).
On the asymptotic behaviour of a modulus of continuity with discrete description
On the asymptotics of mean value points for some finite-difference operators.
On the autonomous Nemytskij operator in Hölder spaces.
On the behaviour of continuous real functions in the neighbourhood of a fixed point.
On the Borel class of the derived set operator
On the Boundary Derivative for Univalent Functions.
On the Cauchy-Schwarz inequality and its reverse in semi-inner product -modules.