On Subharmonic Behaviour and Oscillation of Functions on Balls in Rn
On subordination for classes of non-Bazilevič type
We give some subordination results for new classes of normalized analytic functions containing differential operator of non-Bazilevič type in the open unit disk. By using Jack's lemma, sufficient conditions for this type of operator are also discussed.
On subordinations for certain multivalent analytic functions associated with the generalized hypergeometric function.
On sums of Darboux functions
On superpositional measurability of semi-Carathéodory multifunctions
It is shown that product weakly measurable lower weak semi-Carathéodory multifunction is superpositionally measurable.
On superpositionally measurable multifunctions
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