Generalized Choi–Davis–Jensen’s Operator Inequalities and Their Applications Article Swipe
Shih Yu Chang
,
Yimin Wei
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.3390/sym16091176
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.3390/sym16091176
The original Choi–Davis–Jensen’s inequality, known for its extensive applications in various scientific and engineering fields, has inspired researchers to pursue its generalizations. In this study, we extend the Choi–Davis–Jensen’s inequality by introducing a nonlinear map instead of a normalized linear map and generalize the concept of operator convex functions to include any continuous function defined within a compact region. Notably, operators can be matrices with structural symmetry, enhancing the scope and applicability of our results. The Stone–Weierstrass theorem and the Kantorovich function play crucial roles in the formulation and proof of these generalized Choi–Davis–Jensen’s inequalities. Furthermore, we demonstrate an application of this generalized inequality in the context of statistical physics.
Related Topics
Concepts
Mathematics
Jensen's inequality
Operator (biology)
Context (archaeology)
Pure mathematics
Convex function
Function (biology)
Regular polygon
Calculus (dental)
Algebra over a field
Convex analysis
Convex optimization
Geometry
Transcription factor
Biology
Medicine
Gene
Biochemistry
Paleontology
Chemistry
Evolutionary biology
Dentistry
Repressor
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/sym16091176
- OA Status
- gold
- Cited By
- 1
- References
- 13
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4402377406
All OpenAlex metadata
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https://openalex.org/W4402377406Canonical identifier for this work in OpenAlex
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https://doi.org/10.3390/sym16091176Digital Object Identifier
- Title
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Generalized Choi–Davis–Jensen’s Operator Inequalities and Their ApplicationsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-09-09Full publication date if available
- Authors
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Shih Yu Chang, Yimin WeiList of authors in order
- Landing page
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https://doi.org/10.3390/sym16091176Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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goldOpen access status per OpenAlex
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- Concepts
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Mathematics, Jensen's inequality, Operator (biology), Context (archaeology), Pure mathematics, Convex function, Function (biology), Regular polygon, Calculus (dental), Algebra over a field, Convex analysis, Convex optimization, Geometry, Transcription factor, Biology, Medicine, Gene, Biochemistry, Paleontology, Chemistry, Evolutionary biology, Dentistry, RepressorTop concepts (fields/topics) attached by OpenAlex
- Cited by
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1Total citation count in OpenAlex
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2025: 1Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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| cited_by_percentile_year.min | 91 |
| countries_distinct_count | 2 |
| institutions_distinct_count | 2 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/10 |
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| sustainable_development_goals[0].display_name | Reduced inequalities |
| citation_normalized_percentile.value | 0.78785537 |
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| citation_normalized_percentile.is_in_top_10_percent | False |