scholarly journals New Extensions of Popoviciu’s Inequality

2015 ◽  
Vol 13 (5) ◽  
pp. 3121-3133 ◽  
Author(s):  
Marcela V. Mihai ◽  
Flavia-Corina Mitroi-Symeonidis
Keyword(s):  
Popoviciu’S Inequality

scholarly journals Operator Popoviciu’s inequality for superquadratic and convex functions of selfadjoint operators in Hilbert spaces

2019 ◽  
Vol 10 (4) ◽  
pp. 313-324
Author(s):  
Mohammad W. Alomari
Keyword(s):  
Hilbert Spaces ◽  
Convex Functions ◽  
Positive Operators ◽  
Selfadjoint Operators ◽  
Popoviciu’S Inequality ◽  
Linear Maps ◽  
Superquadratic Functions ◽  
Operator Version ◽  
Positive Linear Maps

AbstractIn this work, an operator version of Popoviciu’s inequality for positive operators on Hilbert spaces under positive linear maps for superquadratic functions is proved. Analogously, using the same technique, an operator version of Popoviciu’s inequality for convex functions is obtained. Some other related inequalities are also presented.

scholarly journals Popoviciu's inequality for functions of several variables

2010 ◽  
Vol 365 (1) ◽  
pp. 399-409 ◽  
Author(s):  
Mihaly Bencze ◽  
Constantin P. Niculescu ◽  
Florin Popovici
Keyword(s):  
Popoviciu’S Inequality ◽  
Several Variables
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