Browsing Rocznik Naukowo-Dydaktyczny. Prace Matematyczne by Title
Now showing items 18-37 of 230
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Decompositions of bioperands
(1985) -
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. -
Dido’s functional equation revisited
(2000) -
Distance-line spaces
(1993) -
Entire solutions of a functional equation
(2000)The aim of the present note is to show that all entire solutions f : C → C, of order less than 4, of the equation |f(s + it)f(s - it)| = |f(s)[2] - f(it)[2]|, s,t ϵ R are given by f(z) — az and f(z) = a sin bz, where a, ... -
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 ... -
Functional inequalities for infinite series
(1998)The object of this paper is to consider a general functional inequality from which we obtain the earlier results. The positive sequences {xn} with ∑[∞][i=n+1] x[i] ≤ Mx[n] (n ε N) play a fundamental role in our investigations ... -
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 ... -
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] = ...