A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson's Inequality. (2nd June 2014)

• Record Type: Journal Article
• Authors: Wei, Wei; Srivastava, H. M.; Zhang, Yunyi; Wang, Lei; Shen, Peiyi; Zhang, Jing
• Other Names: Yang Xiao-Jun Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-06-02
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/797561
• Languages: English
• ISSNs: 1085-3375

Abstract

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.