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Gradient Inequalities for an Integral Transform of Positive Operators in Hilbert Spaces

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R. Bhatia, Matrix Analysis, Graduate Texts in Mathematics, 169, Springer-Verlag, New York, 1997. Search in Google Scholar

S.S. Dragomir, Reverses of operator Féjer’s inequalities, Tokyo J. Math. 44 (2021), no. 2, 351–366. Search in Google Scholar

J.I. Fujii and Y. Seo, On parametrized operator means dominated by power ones, Sci. Math. 1 (1998), no. 3, 301–306. Search in Google Scholar

T. Furuta, Concrete examples of operator monotone functions obtained by an elementary method without appealing to Löwner integral representation, Linear Algebra Appl. 429 (2008), no. 5–6, 972–980. Search in Google Scholar

T. Furuta, Precise lower bound of f(A)−f(B) for A > B > 0 and non-constant operator monotone function f on [0, 1), J. Math. Inequal. 9 (2015), no. 1, 47–52. Search in Google Scholar

E. Heinz, Beiträge zur Störungstheorie der Spektralzerlegung, Math. Ann. 123 (1951), 415–438. Search in Google Scholar

K. Löwner, Über monotone Matrixfunktionen, Math. Z. 38 (1934), no. 1, 177–216. Search in Google Scholar

M.S. Moslehian and H. Najafi, An extension of the Löwner-Heinz inequality, Linear Algebra Appl. 437 (2012), no. 9, 2359–2365. Search in Google Scholar

H. Zuo and G. Duan, Some inequalities of operator monotone functions, J. Math. Inequal. 8 (2014), no. 4, 777–781. Search in Google Scholar

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Sujets de la revue:
Mathematics, General Mathematics