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A Vitali-Type Theorem of Passing to the Limit Into the Set-Valued Gould IntegralBianca Renata SATCO |
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Author keywords
set-valued measure, Gould integral, partition, Vitali, Lebesgue
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About this article
Date of Publication: 2003-04-02
Volume 3, Issue 2, Year 2003, On page(s): 61 - 65
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: Not assigned
Abstract
In this paper we give a caracterisation of the set-valued Gould integral of a real bounded function with respect to a set-valued measure with finite variation by using a norm on the set of partitions depending on a totally measurable function and obtain a Vitali-type convergence theorem and a Lebesgue-type one in the setting of a set-valued measure space with a finite variation. |
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Stefan cel Mare University of Suceava, Romania
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Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
All rights reserved: Advances in Electrical and Computer Engineering is a registered trademark of the Stefan cel Mare University of Suceava. No part of this publication may be reproduced, stored in a retrieval system, photocopied, recorded or archived, without the written permission from the Editor. When authors submit their papers for publication, they agree that the copyright for their article be transferred to the Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University of Suceava, Romania, if and only if the articles are accepted for publication. The copyright covers the exclusive rights to reproduce and distribute the article, including reprints and translations.
Permission for other use: The copyright owner's consent does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific written permission must be obtained from the Editor for such copying. Direct linking to files hosted on this website is strictly prohibited.
Disclaimer: Whilst every effort is made by the publishers and editorial board to see that no inaccurate or misleading data, opinions or statements appear in this journal, they wish to make it clear that all information and opinions formulated in the articles, as well as linguistic accuracy, are the sole responsibility of the author.
