On the first and second variation in the sense of Schramm-Riesz

In this paper we present a generalization of the concepts of first and second F-variation (where F is a certain sequence of positive convex function defined on [0;+8], in the sense of Schramm-Riesz for normed space valued functions defined on an interval [a;b] c R. We characterized the functions of...

Full description

Bibliographic Details
Format: Article
Language:English
Published: Universidad Centroccidental Lisandro Alvarado 2013-06-01
Series:Publicaciones en Ciencias y Tecnología
Subjects:
Online Access:https://revistas.uclave.org/index.php/pcyt/article/view/740
Description
Summary:In this paper we present a generalization of the concepts of first and second F-variation (where F is a certain sequence of positive convex function defined on [0;+8], in the sense of Schramm-Riesz for normed space valued functions defined on an interval [a;b] c R. We characterized the functions of second F- variation in the sense of Schramm-Riesz, as those that can be expressed as the integral of a function of bounded F-variation in the sense of Schramm-Riesz.
ISSN:2477-9660