Necessary and sufficient conditions on the Schur convexity of a bivariate mean

AIMS Mathematics

Hong-Ping Yin¹  Xi-Min Liu²  Jing-Yu Wang³  Bai-Ni Guo⁴ 

[1] 1 School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning, China 2 College of Mathematics and Physics, Inner Mongolia University for Nationalities, Tongliao 028043, Inner Mongolia, China;1 School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning, China;2 College of Mathematics and Physics, Inner Mongolia University for Nationalities, Tongliao 028043, Inner Mongolia, China;3 School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, China;

关键词: necessary and sufficient condition;    bivariate mean;    schur convex function;    schur harmonically convex function;    inequality;    majorization;   

DOI  :  10.3934/math.2021018

来源: DOAJ

【 摘 要 】

In the paper, the authors find and apply necessary and sufficient conditions for a bivariate mean of two positive numbers with three parameters to be Schur convex or Schur harmonically convex respectively.

【 授权许可】

Unknown