On bi-dimensional second μ-variation

• Autorzy: Ereú J. , Giménez J. , Merentes N.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we present a generalization of the notion of bounded slope variation for functions defined on a rectangle Iba in R2. Given a strictly increasing function μ, defined in a closed real interval, we introduce the class BVμ,2 (Iba), of functions of bounded second μ-variation on Iba ; and show that this class can be equipped with a norm with respect to which it is a Banach space. We also deal with the important case of factorizable functions in BVμ,2 (Iba) and finally we exhibit a relation between this class and the one of double Riemann–Stieltjes integrals of functions of bi-dimensional bounded variation.

Słowa kluczowe

EN

functions of bounded second variation; functions of bounded variation

PL

funkcja o wahaniu skończonym; funkcja o ograniczonej zmienności

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 4
• Strony: 910--932
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Ereú J.

• Departamento De Matemáticas, Decanato De Ciencias Y Tecnología, Universidad Centroccidental Lisandro Alvarado, Barquisimeto, Venezuela

autor

Giménez J.

• Departamento De Matemáticas, Facultad De Ciencias Universidad, De Los Andes Mérida, Venezuela

autor

Merentes N.

• Escuela De Matemáticas, Universidad Central De Venezuela, Caracas, Venezuela

Bibliografia

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