On a global upper bound for Jensen's inequality

2009 ◽  
Vol 50 ◽  
Author(s):  
Julije Jaksetic ◽  
Bogdan Gavrea ◽  
Josip Pecaric
Keyword(s):  
Upper Bound ◽  
Jensen’S Inequality ◽  
Jensen's Inequality

scholarly journals New refinements of the discrete Jensen’s inequality generated by finite or infinite permutations

2019 ◽  
Vol 94 (6) ◽  
pp. 1109-1121
Author(s):  
László Horváth
Keyword(s):  
Banach Spaces ◽  
Jensen’S Inequality ◽  
Vector Spaces ◽  
Real Vector ◽  
Finite Sets ◽  
Jensen's Inequality

AbstractIn this paper some new refinements of the discrete Jensen’s inequality are obtained in real vector spaces. The idea comes from some former refinements determined by cyclic permutations. We essentially generalize and extend these results by using permutations of finite sets and bijections of the set of positive numbers. We get refinements of the discrete Jensen’s inequality for infinite convex combinations in Banach spaces. Similar results are rare. Finally, some applications are given on different topics.

Further sharpening of Jensen's inequality

Statistics ◽  
2021 ◽  
pp. 1-15
Author(s):  
Sang Kyu Lee ◽  
Jae Ho Chang ◽  
Hyoung-Moon Kim
Keyword(s):  
Jensen’S Inequality ◽  
Jensen's Inequality

scholarly journals Variable ventilation and Jensen's inequality: citation corrections

Critical Care ◽  
2016 ◽  
Vol 20 (1) ◽  
Author(s):  
W. Alan C. Mutch ◽  
M. Ruth Graham ◽  
John F. Brewster
Keyword(s):  
Jensen’S Inequality ◽  
Jensen's Inequality ◽  
Variable Ventilation
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