Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space

Based on the local fractional calculus, we establish some new generalizations of Hölder’s inequality. By using it, some related results on the generalized integral inequality in fractal space are investigated in detail.

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Bibliographic Details
Main Author: Guang-Sheng Chen
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/198405
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author Guang-Sheng Chen
author_facet Guang-Sheng Chen
author_sort Guang-Sheng Chen
collection DOAJ
description Based on the local fractional calculus, we establish some new generalizations of Hölder’s inequality. By using it, some related results on the generalized integral inequality in fractal space are investigated in detail.
format Article
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institution Kabale University
issn 0972-6802
1758-4965
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces and Applications
spelling doaj-art-8e486f6d842348ccbd0d4409fa3b57562025-02-03T01:33:15ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/198405198405Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal SpaceGuang-Sheng Chen0Department of Construction and Information Engineering, Guangxi Modern Vocational Technology College, Hechi, Guangxi 547000, ChinaBased on the local fractional calculus, we establish some new generalizations of Hölder’s inequality. By using it, some related results on the generalized integral inequality in fractal space are investigated in detail.http://dx.doi.org/10.1155/2013/198405
spellingShingle Guang-Sheng Chen
Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space
Journal of Function Spaces and Applications
title Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space
title_full Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space
title_fullStr Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space
title_full_unstemmed Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space
title_short Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space
title_sort generalizations of holder s and some related integral inequalities on fractal space
url http://dx.doi.org/10.1155/2013/198405
work_keys_str_mv AT guangshengchen generalizationsofholdersandsomerelatedintegralinequalitiesonfractalspace