Czasopisma Naukowe: Recent submissions
Now showing items 3741-3760 of 9348
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Dido’s functional equation revisited
(2000) -
Remarks on quasi-arithmetic means
(2000) -
Ring homomorphisms equation revisited
(2000)The functional equation f(x + y) + f(xy) = f{x) + f(y) + f(x)f(y) (*) has been studied by J. Dhombres (Relations de dépendance entre les équations fonctionnelles de Cauchy, Aequationes Math. 35 (1988), 186- 212) for ... -
Matkowski-Sutô type problem for conjugate arithmetic means
(2000)Let I ⊂ R be an open interval and let CM(I) denote the set of all continuous and strictly monotonie real functions on I. For ϕ ϵ CM(I) we define A[*][ϕ](x,y) := ϕ[-1](ϕ(x) + ϕ(y) - ϕ(x+y/2) for all x,y ϵ I, which is ... -
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. -
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 ... -
Tarnowskie studia romologiczne
(2016)