The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric Functions. (13th December 2018)

• Record Type: Journal Article
• Authors: Sun, Ming-bao; Li, Xin-ping; Zhang, Ying-hui; Zhang, Zai-yuan
• Other Names: Fiorenza Alberto Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2018(2018)
• Publication Date: 2018-12-13
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2018/4036942
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We investigate the Schur harmonic convexity for two classes of symmetric functions and the Schur multiplicative convexity for a class of symmetric functions by using a new method and generalizing previous result. As applications, we establish some inequalities by use of the theory of majorization, in particular, and we give some new geometric inequalities in then -dimensional space.