Repozytorium Uniwersytetu Komisji Edukacji Narodowej: Recent submissions
Now showing items 4841-4860 of 13170
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Lwowska premiera Sułkowskiego
(1998) -
Rocznik Naukowo-Dydaktyczny. Z. 197. Prace Historycznoliterackie 12
(Wydawnictwo Naukowe Wyższej Szkoły Pedagogicznej, Kraków, 1998) -
Oscillation and integration characterizations of bounded a.e. continuous functions
(1998)We show that a bounded vector valued function on a premeasurable set is a.e. continuous if and only if its upper or lower oscillation is zero. Moreover, a bounded real valued function on a premeasurable set is a.e. ... -
Superadditive solutions of functional equation
(1998)Let {A[s] : s ≥ 0} be a given iteration semigroup of additive set-valued functions. In this paper we study superadditive set-valued solutions Ф of the functional equation Ф(t + s) = A[s] [Ф(t)] + Ф(s) for t, s ≥ 0. -
Sur un problème de Marley
(1998) -
Convex set-valued functions on (0, oo) and their conjugate
(1998)Let (Ω,Σ,μ) be a σ-finite space and Υ be a Banach space. It is shown that if F : (0,oo) → cl(Y) is a convex continuous set-valued function, then ∫[Ω]y{F°x/y)dμ ⊂ ∫[Ω]ydμF(∫[Ω]xdμ/∫[Ω]ydμ) for all positive p-integrable ... -
On a generalization of a functional equation associated with Simpson’s rule
(1998)The general solution of the functional equation f(x) - g(x) = (x - y)[h(sx + ty) + ф(х) + ψ(у)] for all x,y ε R (the set of reals) with s and t being a pńori known parameters is determined without any regularity assumptions ... -
Takagi’s function and its functional equations
(1998)The Takagi function T : R →R is given by T(x) = ∑[∞][k=0] 1/2[k]d(2[k]x), where d(y) denotes the distance from у to the nearest integer. We give some information on the history and on the analytic properties of T. ... -
On the functional equation of exit laws for lattice semigroups
(1998)Let P = (P[t])[t>0] be a semigroup of kernels on an LCD space (X,β) such that V := ∫[∞][0] P[t]dt exists. An exit law for P is a family of positive measurable functions f = (f[t])[t>0] which verifies the following functional ...