Geodesic
Vector and operator trapezoidal type inequalities for continuous functions of selfadjoint operators in Hilbert spaces
The electronic journal of linear algebra, Tome 22 (2011), pp. 161-178.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Some vector and operator generalized trapezoidal inequalities for continuous functions of selfadjoint operators in Hilbert spaces are given. Applications for power and logarithmic functions of operators are provided as well.
Classification : 47A63, 47A99
Keywords: selfadjoint operators, functions of selfadjoint operators, spectral representation, inequalities for selfadjoint operators 
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     author = {Dragomir, Sever S.},
     title = {Vector and operator trapezoidal type inequalities for continuous functions of selfadjoint operators in {Hilbert} spaces},
     journal = {The electronic journal of linear algebra},
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     url = {http://geodesic.mathdoc.fr/item/ELA_2011__22__a67/}
}
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Dragomir, Sever S. Vector and operator trapezoidal type inequalities for continuous functions of selfadjoint operators in Hilbert spaces. The electronic journal of linear algebra, Tome 22 (2011), pp. 161-178. http://geodesic.mathdoc.fr/item/ELA_2011__22__a67/