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.

Bibliographic Details
Main Author: Guang-Sheng Chen
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/198405
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spelling doaj-8e486f6d842348ccbd0d4409fa3b57562020-11-24T23:00:31ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Guang-Sheng Chen
spellingShingle Guang-Sheng Chen
Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space
Journal of Function Spaces and Applications
author_facet Guang-Sheng Chen
author_sort Guang-Sheng Chen
title 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_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_sort generalizations of hölder’s and some related integral inequalities on fractal space
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
1758-4965
publishDate 2013-01-01
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.
url http://dx.doi.org/10.1155/2013/198405
work_keys_str_mv AT guangshengchen generalizationsofholdersandsomerelatedintegralinequalitiesonfractalspace
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