On some properties of the spaces of almost continuous functions.
On some shift invariant integral operators, univariate case
In recent papers the authors studied global smoothness preservation by certain univariate and multivariate linear operators over compact domains. Here the domain is ℝ. A very general positive linear integral type operator is introduced through a convolution-like iteration of another general positive linear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates, shape preserving and...
On some special iteration groups
On some subclasses of Darboux functions
On some subclasses of harmonic functions defined by fractional calculus.
On spaces with the ideal convergence property
Let I ⊆ P(ω) be an ideal. We continue our investigation of the class of spaces with the I-ideal convergence property, denoted (I). We show that if I is an analytic, non-countably generated P-ideal then (I) ⊆ s₀. If in addition I is non-pathological and not isomorphic to , then (I) spaces have measure zero. We also present a characterization of the (I) spaces using clopen covers.
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 symmetric derivatives and on properties of Zahorski
On Tabor's problem concerning a certain quasi-ordering of iterative roots of functions.
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 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 approximate Peano derivatives
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.