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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2013-01-01
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Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2013/198405 |
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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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1725642117905121280 |