Schur Convexity and Inequalities for a Multivariate Symmetric Function. (10th July 2020)

• Record Type: Journal Article
• Authors: Sun, Ming-Bao; Li, Xin-Ping; Tang, Sheng-Fang; Zhang, Zai-Yun
• Other Names: Curto Raúl E. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-07-10
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/9676231
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In the article, we provide the Schur, Schur multiplicative, and Schur harmonic convexities properties for the symmetry function F n x, r = F n x 1, x 2, ⋯, x n ; r = ∏ 1 ≤ i 1 < i 2 < ⋯ < i r ≤ n ∑ j = 1 r x i j / 1 − x i j 1 / r on 0, 1 n and find several new analytical inequalities by use of the majorization theory, where x = x 1, ⋯, x n ∈ 0, 1 n, r = 1, 2, ⋯, n and i 1, i 2, ⋯, i n are positive integers.