@article{tjant2021932,
author={{Wang, Shuhong and Wang, Hui and Yu, Haiyan},
title={Schur <i>m</i>-Power Convexity of a New Class of Symmetric Functions with Applications},
journal={Turkish Journal of Analysis and Number Theory},
volume={9},
number={3},
pages={42--47},
year={2021},
url={http://pubs.sciepub.com/tjant/9/3/2},
issn={2333-1232},
abstract={In the paper, by using the properties of Schur <i>m</i>-power convex function, we discuss Schur <i>m</i>-power convexity of a new class of symmetric functions <img src=image/abs1.png></img> where <i>i</i><SUB>1</SUB>, <i>i</i><SUB>2</SUB>, ¡­, <i>i</i><SUB><i>r</i></SUB> are non-negative integers, <img src=image/abs2.png></img> and <i>p</i><i> </i>¡Ê <i>N</i><SUP><i>+</i></SUP>. We obtain that <img src=image/abs3.png></img> is Schur <i>m</i>-power convex for <i>m</i><i> </i>¡Ü 0 and Schur<i> m</i>-power concave for <i>m</i><i> </i><i>¡Ý</i><i> </i><i>p</i>. We also give a counter example to illustrate <img src=image/abs4.png></img> is neither Schur convex nor Schur concave for <i>p</i>>1. As applications, a Klamkin-Newman type inequality and some analytic inequalities are derived.},
doi={10.12691/tjant-9-3-2}
publisher={Science and Education Publishing}
}