Some Further Generalizations of Hölder's Inequality and Related Results on Fractal Space

Some Further Generalizations of Hölder's Inequality and Related Results on Fractal Space

We establish some new generalizations and refinements of the local fractional integral Hölder’s inequality and some related results on fractal space. We also show that many existing inequalities related to the local fractional integral Hölder’s inequality are special cases of the main inequalities w...

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Main Authors: Guang-Sheng Chen, H. M. Srivastava, Pin Wang, Wei Wei
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/832802
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spelling doaj-24b84c94f4cc43939065b19772f98e952020-11-24T20:53:44ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/832802832802Some Further Generalizations of Hölder's Inequality and Related Results on Fractal SpaceGuang-Sheng Chen0H. M. Srivastava1Pin Wang2Wei Wei3Department of Construction and Information Engineering, Guangxi Modern Vocational Technology College, Hechi, Guangxi 547000, ChinaDepartment of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, CanadaDepartment of Mathematics and Computer Science, Guangxi College of Education, Nanning, Guangxi 530023, ChinaSchool of Computer Science and Engineering, Xi'an University of Technology, Xi'an, Shaanxi 710048, ChinaWe establish some new generalizations and refinements of the local fractional integral Hölder’s inequality and some related results on fractal space. We also show that many existing inequalities related to the local fractional integral Hölder’s inequality are special cases of the main inequalities which are presented here.http://dx.doi.org/10.1155/2014/832802
collection DOAJ
language English
format Article
sources DOAJ
author Guang-Sheng Chen
H. M. Srivastava
Pin Wang
Wei Wei
spellingShingle Guang-Sheng Chen
H. M. Srivastava
Pin Wang
Wei Wei
Some Further Generalizations of Hölder's Inequality and Related Results on Fractal Space
Abstract and Applied Analysis
author_facet Guang-Sheng Chen
H. M. Srivastava
Pin Wang
Wei Wei
author_sort Guang-Sheng Chen
title Some Further Generalizations of Hölder's Inequality and Related Results on Fractal Space
title_short Some Further Generalizations of Hölder's Inequality and Related Results on Fractal Space
title_full Some Further Generalizations of Hölder's Inequality and Related Results on Fractal Space
title_fullStr Some Further Generalizations of Hölder's Inequality and Related Results on Fractal Space
title_full_unstemmed Some Further Generalizations of Hölder's Inequality and Related Results on Fractal Space
title_sort some further generalizations of hölder's inequality and related results on fractal space
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We establish some new generalizations and refinements of the local fractional integral Hölder’s inequality and some related results on fractal space. We also show that many existing inequalities related to the local fractional integral Hölder’s inequality are special cases of the main inequalities which are presented here.
url http://dx.doi.org/10.1155/2014/832802
work_keys_str_mv AT guangshengchen somefurthergeneralizationsofholdersinequalityandrelatedresultsonfractalspace
AT hmsrivastava somefurthergeneralizationsofholdersinequalityandrelatedresultsonfractalspace
AT pinwang somefurthergeneralizationsofholdersinequalityandrelatedresultsonfractalspace
AT weiwei somefurthergeneralizationsofholdersinequalityandrelatedresultsonfractalspace
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