Weakly tight functions and their decomposition

The present paper deals with the study of a weakly tight function and its relation to tight functions. We obtain a Jordan-decomposition-type theorem for a locally bounded weakly tight real-valued function defined on a sublattice of IX, followed by the notion of a total variation.

Bibliographic Details
Main Authors: Mona Khare, Bhawna Singh
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.2991
id doaj-349a27c0030c4f29b38c1c2ffc8a66a5
record_format Article
spelling doaj-349a27c0030c4f29b38c1c2ffc8a66a52020-11-25T00:14:32ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005182991299810.1155/IJMMS.2005.2991Weakly tight functions and their decompositionMona Khare0Bhawna Singh1Department of Mathematics and Statistics, Faculty of Science, University of Allahabad, Allahabad, Uttar Pradesh 211002, IndiaAllahabad Mathematical Society, 10 CSP Singh Marg, Allahabad, Uttar Pradesh 211001, IndiaThe present paper deals with the study of a weakly tight function and its relation to tight functions. We obtain a Jordan-decomposition-type theorem for a locally bounded weakly tight real-valued function defined on a sublattice of IX, followed by the notion of a total variation.http://dx.doi.org/10.1155/IJMMS.2005.2991
collection DOAJ
language English
format Article
sources DOAJ
author Mona Khare
Bhawna Singh
spellingShingle Mona Khare
Bhawna Singh
Weakly tight functions and their decomposition
International Journal of Mathematics and Mathematical Sciences
author_facet Mona Khare
Bhawna Singh
author_sort Mona Khare
title Weakly tight functions and their decomposition
title_short Weakly tight functions and their decomposition
title_full Weakly tight functions and their decomposition
title_fullStr Weakly tight functions and their decomposition
title_full_unstemmed Weakly tight functions and their decomposition
title_sort weakly tight functions and their decomposition
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2005-01-01
description The present paper deals with the study of a weakly tight function and its relation to tight functions. We obtain a Jordan-decomposition-type theorem for a locally bounded weakly tight real-valued function defined on a sublattice of IX, followed by the notion of a total variation.
url http://dx.doi.org/10.1155/IJMMS.2005.2991
work_keys_str_mv AT monakhare weaklytightfunctionsandtheirdecomposition
AT bhawnasingh weaklytightfunctionsandtheirdecomposition
_version_ 1725389929392898048