On a refinement of the majorisation type inequality

Demonstratio mathematica

article

M. Adil Khan¹  Marek Niezgoda²  Josip Pečarić³ 

[1] Abdus Salam School of Mathematical Sciences, GC University;Department of Applied Mathematics and Computer Science, University of Life Sciences in Lublin;University of Zagreb, Faculty of Textile Technology

关键词: convex function;    log-convexity;    Cauchy means;   

DOI  :  10.1515/dema-2013-0295

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

In this note, two mean value theorems are proved by using some recent results by Barnett et al. [N. S. Barnett, P. Cerone, S. S. Dragomir, Majorisation inequalities for Stieltjes integrals , Appl. Math. Lett. 22 (2009), 416-421]. A new class of Cauchy type means for two functions is studied. Logarithmic convexity for differences of power means is proved. Monotonicity of Cauchy means is shown.

【 授权许可】

CC BY