Integral representation of functions of bounded second Φ-variation in the sense of Schramm

In this article we introduce the concept of second \(\Phi\)-variation in the sense of Schramm for normed-space valued functions defined on an interval \([a,b] \subset \mathbb{R}\). To that end we combine the notion of second variation due to de la Vallée Poussin and the concept of \(\varphi\)-variat...

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Bibliographic Details
Main Authors: José Giménez, Nelson Merentes, Sergio Rivas
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2012-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol32/1/art/opuscula_math_3211.pdf