A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality

Abstract and Applied Analysis

Research Article

Jing Zhang³  Peiyi Shen¹  Lei Wang³  Yunyi Zhang²  H. M. Srivastava⁵  Wei Wei⁴ 

[1] National School of Software, Xidian University, Xi’an 710071, China, xidian.edu.cn;College of Computer and Communication Engineering, Zhengzhou University of Light Industry, Dongfeng Road, Zhengzhou, Henan Province, China, zhaosheng.zzuli.edu.cn;School of Computer Science and Engineering, Xi’an University of Technology, Xi’an 710048, China, xaut.edu.cn;School of Computer Science and Engineering, Xi’an University of Technology, Xi’an 710048, China, xaut.edu.cn;Shaanxi Key Laboratory for Network Computing and Security Technology, Xi’an University of Technology, Xi’an 710048, China, xaut.edu.cn;Department of Mathematics and Statistics, University of Victoria, Victoria, BC, Canada, V8W 3R4, uvic.ca

Others  :  1320713
DOI  :  10.1155/2014/797561

 received in 2014-04-08, accepted in 2014-05-18,  发布年份 2014

【 摘 要 】

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.

【 授权许可】

CC BY   
Copyright © 2014 Wei Wei et al. 2014

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