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 inequalities are presented by using an improvement of the Mond-Pečarić method. These results are applied to obtain some inequalities with quasi-arithmetic means.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5785622 | PMC |
| http://dx.doi.org/10.1186/s13660-018-1616-z | DOI Listing |
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