Some Trapezoidal Vector Inequalities for Continuous Functions of Selfadjoint Operators in Hilbert Spaces
On utilising the spectral representation of selfadjoint operators in Hilbert spaces, some trapezoidal inequalities for various classes of continuous functions of such operators are given.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/941286 |
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| _version_ | 1832559912761163776 |
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| author | S. S. Dragomir |
| author_facet | S. S. Dragomir |
| author_sort | S. S. Dragomir |
| collection | DOAJ |
| description | On utilising the spectral representation of selfadjoint operators in
Hilbert spaces, some trapezoidal inequalities for various classes of continuous
functions of such operators are given. |
| format | Article |
| id | doaj-art-8d9dd5354d2748fba6f6e624229db516 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8d9dd5354d2748fba6f6e624229db5162025-02-03T01:28:59ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/941286941286Some Trapezoidal Vector Inequalities for Continuous Functions of Selfadjoint Operators in Hilbert SpacesS. S. Dragomir0Mathematics, School of Engineering Science, Victoria University, P.O. Box 14428, Melbourne City, VIC 8001, AustraliaOn utilising the spectral representation of selfadjoint operators in Hilbert spaces, some trapezoidal inequalities for various classes of continuous functions of such operators are given.http://dx.doi.org/10.1155/2011/941286 |
| spellingShingle | S. S. Dragomir Some Trapezoidal Vector Inequalities for Continuous Functions of Selfadjoint Operators in Hilbert Spaces Abstract and Applied Analysis |
| title | Some Trapezoidal Vector Inequalities for Continuous Functions of Selfadjoint Operators in Hilbert Spaces |
| title_full | Some Trapezoidal Vector Inequalities for Continuous Functions of Selfadjoint Operators in Hilbert Spaces |
| title_fullStr | Some Trapezoidal Vector Inequalities for Continuous Functions of Selfadjoint Operators in Hilbert Spaces |
| title_full_unstemmed | Some Trapezoidal Vector Inequalities for Continuous Functions of Selfadjoint Operators in Hilbert Spaces |
| title_short | Some Trapezoidal Vector Inequalities for Continuous Functions of Selfadjoint Operators in Hilbert Spaces |
| title_sort | some trapezoidal vector inequalities for continuous functions of selfadjoint operators in hilbert spaces |
| url | http://dx.doi.org/10.1155/2011/941286 |
| work_keys_str_mv | AT ssdragomir sometrapezoidalvectorinequalitiesforcontinuousfunctionsofselfadjointoperatorsinhilbertspaces |