Generalized Convex Functions on Fractal Sets and Two Related Inequalities. (15th June 2014)

• Record Type: Journal Article
• Authors: Mo, Huixia; Sui, Xin; Yu, Dongyan
• Other Names: Agarwal Praveen Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-06-15
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/636751
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We introduce the generalized convex function on fractal setsR α ( 0 < α ≤ 1 ) of real line numbers and study the properties of the generalized convex function. Based on these properties, we establish the generalized Jensen's inequality and generalized Hermite-Hadamard's inequality. Furthermore, some applications are given.