PL
 |
EN
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników
Powiadomienia systemowe
  • Sesja wygasła!

Znaleziono wyników: 11

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  continuous function
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available Schramm spaces and composition operators
Wróbel Małgorzata
Journal of Applied Mathematics and Computational Mechanics
|
2023
|
Vol. 22, nr 2
87--98
EN
We give some properties of Schramm functions; among others, we prove that the family of all continuous piecewise linear functions defined on a real interval I is contained in the space ΦBV (I) of functions of bounded variation in the sense of Schramm. Moreover, we show that the generating function of the corresponding Nemytskij composition operator acting between Banach spaces CΦBV (I) of continuous functions of bounded Schramm variation has to be continuous and additionally we show that a space CΦBV (I) has the Matkowski property.
2
Content available Operators with memory in Schramm spaces
Wróbel Małgorzata
Journal of Applied Mathematics and Computational Mechanics
|
2023
|
Vol. 22, nr 3
69--80
EN
We show that every operator with memory acting between Banach spaces CΦBV(I) of continuous functions of bounded variation in the sense of Schramm defined on a compact interval I of a real axis, is a Nemytskij composition operator with the continuous generating function. Moreover, some consequences for uniformly bounded operators with memory will be given. As a by-product, we obtain that a Banach space CΦBV(I) has the uniform Matkowski property.
3
Content available remote Uniform continuity and normality of metric spaces in ZF
Keremedis K.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2017
|
Vol. 65, no. 2
113--124
EN
Let X = (X, d) and Y = (Y, ρ) be two metric spaces. (a) We show in ZF that: (i) If X is separable and f: X → Y is a continuous function then f is uniformly continuous iff for any A, B ⊆ X with d(A, B) = 0, ρ (f(A), f(B)) = 0. But it is relatively consistent with ZF that there exist metric spaces X, Y and a continuous, nonuniformly continuous function f : X → Y such that for any A, B ⊆ X with d(A, B) = 0, ρ (f(A), f(B)) = 0. (ii) If S is a dense subset of X, Y is Cantor complete and f : S → Y a uniformly continuous function, then there is a unique uniformly continuous function F : X → Y extending f. But it is relatively consistent with ZF that there exist a metric space X, a complete metric space Y, a dense subset S of X and a uniformly continuous function f : S → Y that does not extend to a uniformly continuous function on X. (iii) X is complete iff for any Cauchy sequences (xn)n∈N and (yn)n∈N in X, if [wzór] then d({xn : n ∈ N},{yn : n ∈ N}) > 0. (b) We show in ZF+CAC that if f : X → Y is a continuous function, then f is uniformly continuous iff for any A, B ⊆ X with d(A, B) = 0, ρ (f(A), f(B)) = 0.
4
Content available Some properties of openly ϱ-continuous functions
Nowakowska K.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
|
2016
|
Vol. 21
73--84
EN
In the paper we present definition and some properties of openly ϱ-upper continuous functions. Connections with ϱ-upper continuous and porouscontinuous functions are studied.
5
Content available remote More on weak δs-continuity in topological spaces
Jafari S., Noiri T.
Fasciculi Mathematici
|
2016
|
Nr 56
99--109
EN
The notion of weakly δs-continuous functions is introduced by Ekici in [6]. In this paper, we further investigate some more properties of weakly δs-continuous functions. This type of continuity is a generalization of super continuity [16].
6
Content available On local Whitney convergence
Kowalczyk S.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
|
2012
|
Vol. 17
57-68
EN
In this paper we will give definitions of local Whitney convergence in F(X,Y ) and in C(X,Y ), where X is a topological space, (Y,d) is a metric space and F(X,Y ) is the space of all functions from X to Y and C(X,Y ) is the space of all continuous functions from X to Y . We will study some properties of this notion and connections with other kinds of convergence.
7
Content available On some properties of the superposition operator on topological manifolds
Dronka J.
Opuscula Mathematica
|
2010
|
Vol. 30, no. 1
69-77
EN
In this paper the superposition operator in the space of vector-valued, bounded and continuous functions on a topological manifold is considered. The acting conditions and criteria of continuity and compactness are established. As an application, an existence result for the nonlinear Hammerstein integral equation is obtained.
8
Content available remote Exponent in one of the variables
Mityushev V.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
|
2007
|
Vol. 12
77-79
EN
A periodicity functional equation of one complex variable which characterizes the exponential function is discussed. This functional equation can be generalized to equation for functions depending on two complex variables. It is conjectured that the second functional equation also characterizes the exponent. Applications to representations of complex continuous elementary functions are discussed.
9
Content available remote On gβ-regular and gβ-normal spaces
Tahiliani S.
Demonstratio Mathematica
|
2007
|
Vol. 40, nr 3
739-743
EN
The aim of this paper is to introduce and study two new classes of spaces, called gβ-regular and gβ-normal spaces. The concept of gβ-regularity and gβ-normality are separation properties obtained by utilizing gβ-closed sets. Recall that a subset A of a space (X, r ) is called gβ-closed if β Cl(A) is a subset of U where A is a subset of U and U is open in X.
10
Content available remote Knot Point Method in Extrapolation of Boundary Measurement Results
Pisarek J.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
|
2006
|
Vol. 11
67--78
EN
The new measurement technique that relies on distinguishing the ranges in object's space in which the searched quantities are approximated by multiparameter continuous functions has been introduced. The parameters of these functions are calculated by minimizing the functional describing the distance between different functions determined at the same points and distance between numerical solution and experimental results and assumed’a priori’ theoretical guidelines. Functions’ spaces might be determined in any way and might be changed during the computation. This method is especially usefull in extrapolation of the boundary measurement results on the object interior and in joining the local and whole object (global) solutions.
11
Modelowanie maszyn szyjących
Zajączkowski J.
Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
|
2001
|
z. 17
231-236
PL
W pracy opisano algorytm tworzenia modeli matematycznych maszyn szyjących. Uwzględniono silnik indukcyjny, przekładnię pasową oraz mechanizmy dźwigniowe i krzywkowe. Równania dynamiczne ruchu wyprowadzono korzystając z zasady prac wirtualnych i zasady d’ Alamberta. Związki kinematyczne znaleziono wykorzystując metodę Brenta. Ich postać dyskretną zastąpiono funkcjami ciągłymi korzystają z wielomianów. Przybliżenia atraktorów znaleziono całkując układ równań numerycznie przez odpowiednio długi czas.
EN
An algorithm of creating mathematical model of a sewing machine is described in this paper. The electric motor, the belt drive, the linkage and cam mechanisms are taken into account. The equations of the motion are derived by the use of the principle of virtual work together with d ’ Alambert principle. The kinematics relationships were found by the utilization of Brent method. Their discrete form was replaced by a continuous one using polynomials. The approximations of attractors were found by integrating the set of differential eąuations for sufficiently long time.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.