1. A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality
- Author
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Hari M. Srivastava, Jing Zhang, Lei Wang, Peiyi Shen, Wei Wei, and Yunyi Zhang
- 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 - 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.
- Published
- 2014
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