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Przemiany demograficzne małych miast województwa małopolskiego w latach 1975-1997
(2000)
The article deals with the problem of demographic changes in small towns of Małopolska
province between 1975-97. Dynamic of population growth, birth-rate, migration balance and the age
structure of small towns are analyse ...
A couple of functional equations applied to utility theory
(2000)
We show how characterizations of separable and additive representations of rank-dependent expected utility and of rank-
independent expected utility lead to the functional equation
f(v) = f(vw) + f(g-1[g(v)q(w)]) (v ϵ ...
An alternative Cauchy equation almost everywhere
(2000)
Let (S, +) be a commutative semigroup and let ζ be a proper left translation invariant σ-ideal in S. Suppose that f : S → R satisfies
|f(x + y)| = |f(x) + f(y)| Ω(ζ)-almost everywhere in S x S.
We prove that there exists, ...
On some inequalities related to Cauchy-Schwarz inequality
(2000)
Using some results of functional equations we solve some inequalities in real normed spaces of dimension 2 and 3 which
generalize the classical Cauchy-Schwarz inequality and which characterize Some special norms
On decent solutions of a functional congruence
(2000)
A Cauchy functional congruence and corresponding characters are discussed from the point of view of decency in the sense of
Baker.
DeSitter distances in Hilbert spaces
(2000)
All 2-point invariants of an arbitrary DeSitter manifold are determined without any regularity assumption, especially those which are
additive on geodesics.
Note on some functional equations of Gołąb-Schinzel type
(2000)
In the present paper, we consider the following functional equation of Gołąb-Schinzel type:
f(f(x)[n]y + f(y)[k]x) = ф(f(х), f(y)) (1)
where ф : R[2] → R is a given function, f : E → R is the unknown function, E ...
The rotation number of the composition of homeomorphisms
(2000)
In this paper it is shown that if F and G are commuting orientation-preserving homeomorphisms of the unit circle, then
α(F ◦ G) = α(F) + α(G) (mod 1),
where α(F) denotes the rotation number of F.
Characterization of transformed linear functions via shift invariances
(2000)
Transforms of linear functions in two variables are characterized via translation like composite functional equations on restricted
domain, under regularity assumptions of C[1] type.
