Rocznik Naukowo-Dydaktyczny. Prace Matematyczne: Recent submissions
Wyświetlanie pozycji 21-40 z 230
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A functional inequality related to Böttcher’s equation
(2000)There is proved a theorem on the form of continuous solutions of the iterative functional inequality (1) in the case where the function f in (1) possesses an asymptotic property at the origin. The formula we present ... -
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 ... -
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. -
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. -
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 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. -
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 -
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 ... -
Rocznik Naukowo-Dydaktyczny. Z. 204. Prace Matematyczne 17
(Wydawnictwo Naukowe Akademii Pedagogicznej, Kraków, 2000)The year 2000 is the year of a double jubilee of Prof. Dr. Zenon Moszner: the 70th anniversary of his birthday and the 50th year of his work at the Pedagogical University of Kraków. The present special volume of the Rocznik ... -
On a functional equation of Abel
(1999)We are concerned with the general solution and the stability problem for the functional equation f(x + y) = g(xy) + h(x - y) in the case f,g,h : [0, ∞) -> S, where S is an Abelian semigroup with the cancelation law. The ... -
Concave itération semigroups of Jensen set-valued functions
(1999)Let S be a closed convex cone such that int S ≠ 0 in a real separable Banach space. A necessary and sufficient condition is given under which a family {F[t] : t ≥ 0} of set-valued functions F[t] : S -> cc(S) is a concave ... -
L’équation de translation et l’équation de Sincov généralisée
(1999)On donne une liaison entre l’équation de translation (1) et l’équation de Sincov généralisée (2), aussi dans le cas du type de Pexider ((20) et (23)). On formule aussi quelques problèmes ouverts. -
On sets for which the difference set is the whole space
(1999)We give a sufficient condition for a set A Ϲ R[p] to get A — A — R[p]. -
On extensibility of some homomorphisms
(1999)The paper deals with a system of functional equations connected with the determination of some class of homomorphisms of uniquely divisible abelian semigroup (G,+) into the group L[1][s] or L[1][∞]. We give a necessary ... -
On embedding of a linear functional equation
(1999)It is shown, under assumption of existence of continuous solution given on a real interval, when iterative linear equation is embeddable in equation with “continuous time” argument. -
Functions commuting with ternary operations
(1999)The problem of finding all functions which commute with a given ternary operation leads to a general functional equation. In this note we solve this problem in the case when the ternary operation is given by [x, y, z] = ... -
The first International Conference on Functional Equations in Poland : Zakopane 1967
(1999)The meeting in 1967 was organized by Professors Stanisław Gołąb and Marek Kuczma. It was held in Tatra mountains and was the first international conference on functional equations organized in Poland. For most of Polish ...