Autor: Merentes, Nelson José - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On second $\kappa$-variation
Autorzy:: Ereú, Jurancy Josefina
Lopez, Lorena Maria
Merentes, Nelson José
Powiązania:: https://bibliotekanauki.pl/articles/746196.pdf
Data publikacji:: 2016
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: functions of bounded second variation
functions of bounded variation
$\kappa$-function
Opis:: We present the notion of bounded second $\kappa$-variation for real functions defined on an interval $[a,b]$. We introduce the class $\kappa BV^{2}([a,b])$ of all functions of bounded second $\kappa$-variation on $[a,b]$. We show several properties of this class and present a sufficient condition under which a composition operator acts between these spaces.
Źródło:: Commentationes Mathematicae; 2016, 56, 2
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Superposition Operators in the Space of Functions of Waterman-Shiba Bounded Variation
Autorzy:: Gimenez, Jose
Merentes, Nelson
Rodriguez, Luz
Powiązania:: https://bibliotekanauki.pl/articles/963579.pdf
Data publikacji:: 2014
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: bounded variation
superposition operator
watermanshiba-variation
Opis:: In this paper we present a necessary condition for an autonomous superposition operator to act in the space of functions of Waterman-Shiba bounded variation. We also show that if a (general) superposition operator applies such space into itself and it is uniformly bounded, then its generating function satisfies a weak Matkowski condition.
Źródło:: Commentationes Mathematicae; 2014, 54, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Functions of bounded variations on compact subsets of $\mathbb{C}$
Autorzy:: Gimenez, Jose
Merentes, Nelson
Vivas, Miguel
Powiązania:: https://bibliotekanauki.pl/articles/1912865.pdf
Data publikacji:: 2014
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Functions of bounded variation
variation along a curve
composition operator
Opis:: In this paper we introduce the concept of bounded variation for functions defined on compact subsets of the complex plane $\mathbb{C}$, based on the notion of variation along a curve as defined by Ashton and Doust; We describe in detail the space so generated and show that it can be equipped, in a natural way, with the structure of a Banach algebra. We also present a necessary condition for a composition operator $C_\varphi$ to act between two such spaces.
Źródło:: Commentationes Mathematicae; 2014, 54, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: On Bi-dimensional Second Variation
Autorzy:: Ereú, Jurancy
Giménez, José
Merentes, Nelson
Powiązania:: https://bibliotekanauki.pl/articles/745492.pdf
Data publikacji:: 2012
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Functions of Bounded Second Variation
Functions of Bounded Variation
Opis:: In this paper we present the concept of bounded second variation of a real valued function defined on a rectangle in $\mathbb{R}^2$. We use Hardy-Vitali type technics in the plane in order to extend the classical notion of function of bounded second variation on intervals of $\mathbb{R}$. We introduce the class $BV^2(I_a^b )$, of all functions of bounded second variation on a rectangle $I_a^b \subset \mathbb{R}^2$, and show that this class can be equipped with a norm with respect to which it is a Banach space. Finally, we present two results that show that integrals of functions of first bounded variation (on $I_a^b$) are in $BV^2 (I_a^b)$.
Źródło:: Commentationes Mathematicae; 2012, 52, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: Some remarks on the algebra of functions of two variables with bounded total $\Phi$-variation in Schramm sense
Autorzy:: Ereú, Tomás
Merentes, Nelson
Sánchez, José L.
Powiązania:: https://bibliotekanauki.pl/articles/745214.pdf
Data publikacji:: 2010
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Bounded variation in the sense of Wiener
bounded total variation in the sense of Schramm
function of two variable
Banach algebra
Opis:: This paper is devoted to discuss some generalizations of the bounded total $\Phi$-variation in the sense of Schramm. This concept was defined by W. Schramm for functions of one real variable. In the paper we generalize the concept in question for the case of functions of of two variables defined on certain rectangle in the plane. The main result obtained in the paper asserts that the set of all functions having bounded total $\Phi$-variation in Schramm sense has the structure of a Banach algebra.
Źródło:: Commentationes Mathematicae; 2010, 50, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 6.

Tytuł:: Solutions of the Hammerstein equations in $BV_\varphi(I_{a}^{b},\, \mathbb{R})
Autorzy:: Aziz, Wadie
Guerrero, José
Azócar, L.
Merentes, Nelson
Powiązania:: https://bibliotekanauki.pl/articles/729582.pdf
Data publikacji:: 2016
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: Hammerstein integral equation
Banach spaces
bounded $\varphi$-variation in the sense of Hardy-Vitali-Tonelli
Banach's contraction principle
Leray-Schauder nonlinear alternative principle
Opis:: In this paper we study existence and uniqueness of solutions for the Hammerstein equation \[ u(x)= v(x) + \lambda \int_{I_{a}^{b}}K(x,y)f(y,u(y))dy \] \noi in the space of function of bounded total $\varphi$-variation in the sense of Hardy-Vitali-Tonelli, where $\lambda\in \mathbb{R}$, $K:I_a^b\times I_a^b \longrightarrow \mathbb{R}$ and $f:I_a^b\times \mathbb{R} \longrightarrow \mathbb{R}$ are suitable functions. The existence and uniqueness of solutions are proved by means of the Leray-Schauder nonlinear alternative and the Banach contraction mapping principle.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2016, 36, 2; 207-229
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

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