Schur-Convexity for a Class of Completely Symmetric Function Dual

Open Access

Original research article

Author(s):

Huan-Nan Shi^a, Wei-Shih Du^b

^aDepartment of Electronic Information, Teacher’s College, Beijing Union University, Beijing 100011, P.R. China
^bDepartment of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan

Advances in the Theory of Nonlinear Analysis and its Applications 3(2), 74-89.

Received: March 4, 2019

Accepted: June 2, 2019

Published: June 8, 2019

Abstract

By applying the decision theorem and the properties of Schur-convex, Schur-geometric convex, and Schur-harmonic functions, we investigate the Schur-convexity, Schur-geometric convexity, and Schur-harmonic convexity of a class of completely symmetric functions. Furthermore, several symmetric function inequalities are derived as applications of these results.

Keywords: Schur-convexity, Schur-geometric convexity, Schur-harmonic convexity, completely symmetric function, dual form.

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APA Style

Shi, H. N., & Du, W. S. (2019). Schur-convexity for a class of completely symmetric function dual. Advances in the Theory of Nonlinear Analysis and its Application, 3(2), 74-89.