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Grüss type and related integral inequalities in probability spaces
- Source :
- Aequationes mathematicae. 93:743-756
- Publication Year :
- 2018
- Publisher :
- Springer Science and Business Media LLC, 2018.
-
Abstract
- In this paper we study Gruss type inequalities for real and complex valued functions in probability spaces. Some earlier Gruss type inequalities are extended and refined. Our approach leads to new integral inequalities which are interesting in their own right. As an application, we give a Gruss type inequality for normal operators in a Hilbert space. Similar results are obtained only for self-adjoint operators in earlier papers.
- Subjects :
- Mathematics::Functional Analysis
Pure mathematics
Inequality
Applied Mathematics
General Mathematics
media_common.quotation_subject
MathematicsofComputing_NUMERICALANALYSIS
Mathematics::Classical Analysis and ODEs
Hilbert space
Complex valued
Type inequality
Type (model theory)
symbols.namesake
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
symbols
Discrete Mathematics and Combinatorics
Mathematics
media_common
Subjects
Details
- ISSN :
- 14208903 and 00019054
- Volume :
- 93
- Database :
- OpenAIRE
- Journal :
- Aequationes mathematicae
- Accession number :
- edsair.doi...........a62289c6a5d3773f7591d36963031c7a