Open AccessSchur-Convexity of a Class of Elementary Symmetric Composite Functions
Author(s) -
Huan-Nan Shi,
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Tao Zhang,
Bo-Yan Xi,
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Publication year - 2021
Publication title -
journal of mathematical sciences : advances and applications
Language(s) - English
Resource type - Journals
ISSN - 0974-5750
DOI - 10.18642/jmsaa_7100122195
Subject(s) - convexity , schur polynomial , mathematics , pure mathematics , symmetric function , schur's theorem , schur algebra , mathematical analysis , orthogonal polynomials , classical orthogonal polynomials , wilson polynomials , gegenbauer polynomials , financial economics , economics
In this paper, using the properties of Schur-convex function, Schur-geometrically convex function and Schur-harmonically convex function, we provide much simpler proofs of the Schur-convexity, Schur-geometric convexity on and Schur-harmonic convexity on for a composite function of the elementary symmetric functions.