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Group Majorization Methods : Extensions of Matrix Inequalities to Lie Groups.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Ashland :
Arcler Press,
2019.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half Title Page; Title Page; Copyright Page; Declaration; About the Editor; Table of Contents; List of Contributors; List of Abbreviations; Preface; Chapter 1 Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means; Abstract; Introduction and Preliminaries; Main Results; Cauchy Means; Some Related Results; Acknowledgments; References; Chapter 2 Weighted Majorization Theorems Via Generalization of Taylor's Formula; Abstract; Introduction; Majorization Inequality by Extension of Montgomery Identity Via Taylor's Formula
- Bounds For Identities Related to Generalization of Majorization InequalityMean Value Theorems; Log-Convexity and N-Exponential Convexity; Examples With Applications; References; Chapter 3 On an Upper Bound for Sherman's Inequality; Abstract; Introduction And Preliminaries; Upper Bound For Generalized Sherman's Inequality; Applications; Conclusions; Declarations; References; Chapter 4 Refinements of the Lower Bounds of the Jensen Functional; Abstract; Introduction; Main Results; Some Special Cases; Acknowledgments; References
- Chapter 5 On Improvements of Fischer's Inequality and Hadamard's Inequality For K0-MatricesIntroduction; Some Lemmas; Main Results; Acknowledgements; Authors' Contributions; References; Chapter 6 Integral Majorization Theorem For Invex Functions; Abstract; Introduction; Main Results; Acknowledgment; References; Chapter 7 Majorization, Csiszár Divergence and Zipf-Mandelbrot Law; Abstract; Introduction And Preliminaries; Csiszár F-Divergence For Majorization; Applications To The Zipf-Mandelbrot Entropy; Conclusions; Authors' Contributions; References
- Chapter 8 A Necessary and Sufficient Condition For The Inequality of Generalized Weighted MeansAbstract; Introduction; Results: Inequalities For Generalized Weighted Mean; Results: A Necessary And Sufficient Condition; Conclusions; Notes; References; Chapter 9 Multivariate Trace Inequalities; Abstract; Introduction; Trace Inequalities Via Asymptotic Spectral Pinching; Trace Inequalities Via Interpolation Theory; An Application: Entropy Inequalities; Discussion; Acknowledgements; References; Chapter 10 Lieb-Thirring Inequalities For Complex Finite Gap Jacobi Matrices; Abstract
- Schatten Norm EstimatesReferences; Chapter 11 Generalized Analogs of The Heisenberg Uncertainty Inequality; Abstract; Introduction; ℝN × K, K A Locally Compact Group; 3 Euclidean Motion Group M(N); A Class of Nilpotent Lie Groups; References; Chapter 12 Geometric Hardy Inequalities For The Sub-Elliptic Laplacian on Convex Domains In The Heisenberg Group; Abstract; Introduction; Hardy Inequalities on Half-Spaces of Hn; Hardy Inequalities For Convex Domains In Hn; Acknowledgments; References; Chapter 13 Lp Hardy Type Inequality In The Half-Space on The H-Type Group; Abstract; Introduction