Positive linear functional;
convex function;
global bound;
Jensen's discrete inequality;
Jensen's integral inequality;
mean;
mean inequality;
D O I:
10.15352/afa/1399899833
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We offer a global bound for an abstract Jensen's functional. Particularly, the results from Simic [Rocky Mount. J. Math., 41 (2011), no. 6, 2021-2031] are reobtained. Applications to integral inequalities and the theory of means are pointed out.
机构:
Penn State Univ, Coll Med, Div Biostat & Bioinformat, University Pk, PA 16802 USAPenn State Univ, Coll Med, Div Biostat & Bioinformat, University Pk, PA 16802 USA
Liao, J. G.
Berg, Arthur
论文数: 0引用数: 0
h-index: 0
机构:
Penn State Univ, Coll Med, Div Biostat & Bioinformat, University Pk, PA 16802 USAPenn State Univ, Coll Med, Div Biostat & Bioinformat, University Pk, PA 16802 USA
机构:
Univ Putra Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia
Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, MalaysiaUniv Peshawar, Dept Math, Peshawar, Pakistan