Some complementary inequalities to Jensen's operator inequality (CROSBI ID 247319)
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Podaci o odgovornosti
Mićić, Jadranka ; Moradi, Hamid Reza ; Furuichi, Shigeru
engleski
Some complementary inequalities to Jensen's operator inequality
In this paper, we study some complementary inequalities to Jensen’s inequality for self- adjoint operators, unital positive linear mappings, and real valued twice differentiable functions. New improved complementary nequalities are presented by using an improvement of the Mond-Pečarić method. These results are applied to obtain some inequalities with quasi-arithmetic means
self-adjoint operator ; positive linear mapping ; convex function ; converse of Jensen's operator inequality ; Mond-Pečarić method
The third author was partially supported by JSPS KAKENHI Grant Number 16K05257.
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Podaci o izdanju
2018 (25)
2018.
1-20
objavljeno
1029-242X
1029-242X
10.1186/s13660-018-1616-z
Povezanost rada
Matematika