Some Hermite-Hadamard type inequalities for operator convex functions and positive maps-Reference-Cited by-同舟云学术

Some Hermite-Hadamard type inequalities for operator convex functions and positive maps

Published:2019-01-01 Issue:1 Volume:7 Page:38-51
ISSN:2300-7451
Container-title:Special Matrices
language:en
Short-container-title:

Author:

Dragomir S. S.¹

Affiliation:

1. Mathematics, College of Engineering & Science , Victoria University , PO Box 14428, Melbourne City , MC 8001 , Australia , and School of Computer Science & Applied Mathematics , University of the Witwatersrand , Private Bag 3, Johannesburg 2050 , South Africa

Abstract

Abstract In this paper we establish some inequalities of Hermite-Hadamard type for operator convex functions and positive maps. Applications for power function and logarithm are also provided.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/spma-2019-0005/pdf

Reference13 articles.

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2. [2] B. Li, Refinements of Hermite-Hadamard’s type inequalities for operator convex functions. Int. J. Contemp. Math. Sci. 8 2013, no. 9-12, 463–467.

3. [3] M. D. Choi, Positive linear maps on C*-algebras. Canad. J. Math. 24 1972, 520–529.

4. [4] S. S. Dragomir, Hermite–Hadamard’s type inequalities for operator convex functions, Applied Mathematics and Computation, 218 2011, Issue 3, pp. 766–772.

5. [5] S. S. Dragomir, Operator Inequalities of the Jensen, Čebyšev and Grüss Type. Springer Briefs inMathematics. Springer, New York, 2012. xii+121 pp. ISBN: 978-1-4614-1520-6.

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