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Some Hermite-Hadamard type inequalities for operator convex functions and positive maps
- Source :
- Special Matrices, Vol 7, Iss 1, Pp 38-51 (2019)
- Publication Year :
- 2019
- Publisher :
- Walter de Gruyter GmbH, 2019.
-
Abstract
- In this paper we establish some inequalities of Hermite-Hadamard type for operator convex functions and positive maps. Applications for power function and logarithm are also provided.
- Subjects :
- Pure mathematics
Logarithm
MathematicsofComputing_NUMERICALANALYSIS
Mathematics::Classical Analysis and ODEs
operator convex functions
arithmetic mean-geometric mean inequality
Type (model theory)
Operator (computer programming)
Hadamard transform
TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY
Hermite–Hadamard inequality
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
47a30
QA1-939
jensen’s inequality
Mathematics
Algebra and Number Theory
Hermite polynomials
hermite-hadamard inequality
15a60
positive maps
47a63
Geometry and Topology
Convex function
Jensen's inequality
Subjects
Details
- ISSN :
- 23007451
- Volume :
- 7
- Database :
- OpenAIRE
- Journal :
- Special Matrices
- Accession number :
- edsair.doi.dedup.....2f682ae297fda09a6a9b8a30bc6b8b4a
- Full Text :
- https://doi.org/10.1515/spma-2019-0005