Some Slater type inequalities for convex functions of selfadjoint operators in Hilbert spaces
- Autores: Sever Silvestru Dragomir
- Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 52, Nº. 1, 2011, págs. 109-120
- Idioma: inglés
- Enlaces
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Resumen
Some inequalities of the Slater type for convex functions of selfadjoint operators in Hilbert spaces H under suitable assumptions for the involved operators are given. Amongst others, it is shown that if A is a positive definite operator with Sp (A) ⊂ [m, M] and f is convex and has a continuous derivative on [m, M] , then for any x ∈ H with kxk = 1 the following inequality holds.
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