Rocznik Naukowo-Dydaktyczny. Prace Matematyczne: Recent submissions
Now showing items 41-60 of 230
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Rocznik Naukowo-Dydaktyczny. Z. 207. Prace Matematyczne 16
(Wydawnictwo Naukowe Wyższej Szkoły Pedagogicznej, Kraków, 1999) -
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 ... -
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 ... -
The stability of the Wigner equation in complex Hilbert spaces
(1998)We prove the Hyers-Ulam type stability of the Wigner equation for complex Hilbert spaces. -
Geometrical convexity and the Artin functional equation
(1998)We give uniqueness and existence results of Krull type for the Artin functional equation F(x + 1) = g(x)F(x), in the frame of geometrical convexity. Some of them are improvements of previous ones in the literature. -
The characterization of the indicator plurality function
(1998)The characterization of the rational and real indicator plurality function in the sense of M. F. S. Roberts is obtained. The answer to M. F. S. Roberts’ question is presented. -
On the stability of the cosine functional equation
(1998)In the present paper we study the stability problem of the cosine functional equation for complex- and vector-valued functions. -
Rocznik Naukowo-Dydaktyczny. Z. 196. Prace Matematyczne 15
(Wydawnictwo Naukowe Wyższej Szkoły Pedagogicznej, Kraków, 1998) -
Connections between Hyers and Lyapunov stability of the ordinary differential equations
(1997)We consider two kinds of stability of the differential equation x' = f(t, x) where f : R[2] —> R is a continuous function, Lipschitzian with respect to the second variable. We prove that the Hyers stability implies the ... -
On a class of linear differential operators of first order with singular point
(1997)The aim of this paper is to give a background to study spectral properties of some operators occurring in differentiall geometry. We deal with the problem of existence and uniqueness of local solutions of partial ... -
On some subsemigroups of the group L[1][8]
(1997)In this paper we generalize the results concerning determination of some form subsemigroups of the group L[1][8]. We show that for s ≥ 4 + 2i there are no subsemigroups Z[1][s,8](f) and T[1][s,8](g). We determine all ...