Refinements of Hermite-Hadamard inequality for operator convex function
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Authors
Junmin Han
- School of Mathematics and Information Science, Weifang University, Weifang, 261061, P. R. China.
Jian Shi
- College of Mathematics and Information Science, Hebei University, Baoding, 071002, P. R. China.
Abstract
In this paper, we present several operator versions of the Hermite-Hadamard inequality for the operator convex function, which are refinements of some operator convex inequalities presented by Dragomir [S. S. Dragomir, Appl. Math. Comput., \({\bf 218}\) (2011), 766--772] and [S. S. Dragomir, RGMIA Research Report Collection, \({\bf 2016}\) (2016), 15 pages].
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ISRP Style
Junmin Han, Jian Shi, Refinements of Hermite-Hadamard inequality for operator convex function, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 6035--6041
AMA Style
Han Junmin, Shi Jian, Refinements of Hermite-Hadamard inequality for operator convex function. J. Nonlinear Sci. Appl. (2017); 10(11):6035--6041
Chicago/Turabian Style
Han, Junmin, Shi, Jian. "Refinements of Hermite-Hadamard inequality for operator convex function." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 6035--6041
Keywords
- Self-adjoint operators
- Hermite-Hadamard inequality
- operator convex functions
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