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

Authors

  • Mireya Bracamonte Universidad Centroccidental Lisandro Alvarado, Venezuela
  • José Gimenez Universidad de Los Andes, Venezuela
  • Nelson Merentes Universidad Central de Venezuela, Venezuela

Keywords:

Variation of a Function, N-Function, N-sequence

Abstract

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.

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Author Biographies

  • Mireya Bracamonte, Universidad Centroccidental Lisandro Alvarado, Venezuela

    Decanato de Ciencias y Tecnología, Departamento de Matemáticas

  • José Gimenez, Universidad de Los Andes, Venezuela

    Departamento de Matemáticas

  • Nelson Merentes, Universidad Central de Venezuela, Venezuela

    Escuela de Matemáticas

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Published

2013-06-19

Issue

Section

Research Article

How to Cite

[1]
“On the first and second variation in the sense of Schramm-Riesz”, Publ.Cienc.Tecnol, vol. 7, no. 1, pp. 37–50, Jun. 2013, Accessed: Jul. 23, 2026. Available: https://revistas2.uclave.org/index.php/pcyt/article/view/740