Inequalities of Convex Functions and Self-Adjoint Operators
| Autor: | Zlatko Pavić |
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| Rok vydání: | 2014 |
| Předmět: |
Article Subject
convex function affine combination self-adjoint operator Jensen-Mercer's inequality Mathematical analysis MathematicsofComputing_NUMERICALANALYSIS Finite-rank operator Subderivative Operator theory Compact operator Quasinormal operator Algebra Semi-elliptic operator Operator (computer programming) Operator norm Mathematics |
| Zdroj: | Journal of Operators. 2014:1-5 |
| ISSN: | 2314-5072 2314-5064 |
| DOI: | 10.1155/2014/382364 |
| Popis: | The paper offers generalizations of the Jensen-Mercer inequality for self-adjoint operators and generally convex functions. The obtained results are applied to define the quasi-arithmetic operator means without using operator convexity. The version of the harmonic-geometric-arithmetic operator mean inequality is derived as an example. |
| Databáze: | OpenAIRE |
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