Exponential inequalities for positive linear mappings
M. Sababheh, H. R. Moradi, S.Furuichi
TL;DR
This paper develops exponential inequalities for positive linear mappings and operators, using convexity and the Mond-Pečarić method, leading to refined results and extensions for operator means.
Contribution
It introduces new exponential inequalities for positive linear mappings and operators, generalizing and refining existing results with applications to operator means.
Findings
Refined exponential inequalities for positive linear mappings.
Extensions for operator-like geometric and harmonic means.
Generalization of known inequalities using convexity and Mond-Pečarić method.
Abstract
In this article, we present exponential-type inequalities for positive linear mappings and Hilbert space operators, by means of convexity and the Mond-Pe\v cari\'c method. The obtained results refine and generalize some known results. As an application, we present extensions for operator-like geometric and harmonic means.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Analytic and geometric function theory