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A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality
- Source :
- Abstract and Applied Analysis, Vol 2014 (2014), Abstr. Appl. Anal.
- Publication Year :
- 2014
- Publisher :
- Hindawi Publishing Corporation, 2014.
-
Abstract
- Anderson's inequality (Anderson, 1958) as well as its improved version given by Fink (2003) is known to provide interesting examples of integral inequalities. In this paper, we establish local fractional integral analogue of Anderson's inequality on fractal space under some suitable conditions. Moreover, we also show that the local fractional integral inequality on fractal space, which we have proved in this paper, is a new generalization of the classical Anderson's inequality.
- Subjects :
- Hölder's inequality
Kantorovich inequality
Pure mathematics
Article Subject
Generalization
Applied Mathematics
lcsh:Mathematics
Mathematical analysis
Space (mathematics)
lcsh:QA1-939
Condensed Matter::Disordered Systems and Neural Networks
Fractal
Log sum inequality
Condensed Matter::Strongly Correlated Electrons
Rearrangement inequality
Cauchy–Schwarz inequality
Analysis
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 10853375
- Database :
- OpenAIRE
- Journal :
- Abstract and Applied Analysis
- Accession number :
- edsair.doi.dedup.....4fd088723f361beda19a0bff4f5d4342
- Full Text :
- https://doi.org/10.1155/2014/797561