On Reversing Operator Choi–Davis–Jensen Inequality

In this paper, we first provide a better estimate of the second inequality in Hermite–Hadamard inequality. Next, we study the reverse of the celebrated Davis–Choi–Jensen’s inequality. Our results are employed to establish a new bound for the operator Kantorovich inequality.

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Bibliographic Details
Published in:	Iranian journal of science and technology. Transaction A, Science Vol. 45; no. 4; pp. 1405 - 1410
Main Authors:	Hashemi Karouei, Seyyed Saeid, Asgari, Mohammad Sadegh, Shah Hosseini, Mohsen
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01-08-2021 Springer Nature B.V
Subjects:	Chemistry/Food Science Earth Sciences Engineering Inequality Life Sciences Materials Science Mathematics Physics Research Paper Self-adjoint operator Hermite-Hadamard inequality Davis–Choi–Jensen inequality Primary: 47A12; 47A30 Convex function Positive operator Secondary: 26D15
Online Access:	Get full text
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Description
Summary:	In this paper, we first provide a better estimate of the second inequality in Hermite–Hadamard inequality. Next, we study the reverse of the celebrated Davis–Choi–Jensen’s inequality. Our results are employed to establish a new bound for the operator Kantorovich inequality.
ISSN:	1028-6276 2364-1819
DOI:	10.1007/s40995-021-01129-w