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.
In this paper, we prove that for a Kohn-Nirenberg domain if 1 < k < p 2 p 2 −q 2 , q p then there does not exist any C 1 -peak function and support surface at the origin.
We prove an extension of Furuta inequality with nonnegative powers for multi-operator. Then we show its application to Pedersen-Takesaki type operator equation. c 2016 All rights reserved.
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