Exponential Inequalities for Positive Linear Mappings

In this article, we present exponential-type inequalities for positive linear mappings and Hilbert space operators, by means of convexity and the Mond-Pečarić method. The obtained results refine and generalize some known results. As an application, we present extensions for operator-like geometric a...

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Main Authors: Mohammad Sababheh, Hamid Reza Moradi, Shigeru Furuichi
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/5467413
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author Mohammad Sababheh
Hamid Reza Moradi
Shigeru Furuichi
author_facet Mohammad Sababheh
Hamid Reza Moradi
Shigeru Furuichi
author_sort Mohammad Sababheh
collection DOAJ
description In this article, we present exponential-type inequalities for positive linear mappings and Hilbert space operators, by means of convexity and the Mond-Pečarić method. The obtained results refine and generalize some known results. As an application, we present extensions for operator-like geometric and harmonic means inequalities.
format Article
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-e85578b5b5c34b61b37e919d79edbac92025-02-03T01:21:30ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/54674135467413Exponential Inequalities for Positive Linear MappingsMohammad Sababheh0Hamid Reza Moradi1Shigeru Furuichi2Department of Basic Sciences, Princess Sumaya University for Technology, Amman, JordanYoung Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad, IranDepartment of Computer Science and System Analysis, College of Humanities and Sciences, Nihon University, 3-25-40 Sakurajyousui, Setagaya-ku, Tokyo 156-8550, JapanIn this article, we present exponential-type inequalities for positive linear mappings and Hilbert space operators, by means of convexity and the Mond-Pečarić method. The obtained results refine and generalize some known results. As an application, we present extensions for operator-like geometric and harmonic means inequalities.http://dx.doi.org/10.1155/2018/5467413
spellingShingle Mohammad Sababheh
Hamid Reza Moradi
Shigeru Furuichi
Exponential Inequalities for Positive Linear Mappings
Journal of Function Spaces
title Exponential Inequalities for Positive Linear Mappings
title_full Exponential Inequalities for Positive Linear Mappings
title_fullStr Exponential Inequalities for Positive Linear Mappings
title_full_unstemmed Exponential Inequalities for Positive Linear Mappings
title_short Exponential Inequalities for Positive Linear Mappings
title_sort exponential inequalities for positive linear mappings
url http://dx.doi.org/10.1155/2018/5467413
work_keys_str_mv AT mohammadsababheh exponentialinequalitiesforpositivelinearmappings
AT hamidrezamoradi exponentialinequalitiesforpositivelinearmappings
AT shigerufuruichi exponentialinequalitiesforpositivelinearmappings