References
- R. Bhatia, Matrix Analysis, Graduate Texts in Mathematics, 169. Springer-Verlag, New York, 1997. xii+347 pp. ISBN: 0-387-94846-5.
- M. Fujii, R. Nakamoto, Note on Dragomir’s theorems, Private note, 5 Aug. 2020, Preprint RGMIA Res. Rep. Coll., Art. 113, vol. 23, 2020, 4 pp.
- J. I. Fujii, Y. Seo, On parametrized operator means dominated by power ones, Sci. Math., vol. 1, 1998, 301-306.
- T. Furuta, Concrete examples of operator monotone functions obtained by an elementary method without appealing to Löwner integral representation, Linear Algebra Appl., vol. 429, 2008, 972-980.
- T. Furuta, Precise lower bound of f(A)−f(B) for A > B > 0 and non-constant operator monotone function f on [0, ∞), J. Math. Inequal., vol. 9, no. 1, 2015, 47-52.
- E. Heinz, Beiträge zur Störungsteorie der Spektralzerlegung, Math. Ann., vol. 123, 1951, 415-438.
- K. Löwner,Über monotone MatrixFunktionen, Math. Z., vol. 38, 1934, 177-216.
- M. S. Moslehian, H. Najafi, An extension of the Löwner-Heinz inequality, Linear Algebra Appl., vol. 437, 2012, 2359-2365.
- H. Zuo, G. Duan, Some inequalities of operator monotone functions, J. Math. Inequal., vol. 8, no. 4, 2014, 777-781.
- Incomplete Gamma and Related Functions, Definitions, Digital Library of Mathematical Functions, NIST. [Online https://dlmf.nist.gov/8.2].
- Incomplete Gamma and Related Functions, Integral Representations, Digital Library of Mathematical Functions, NIST. [Online https://dlmf.nist.gov/8.6].
- Generalized Exponential Integral, Digital Library of Mathematical Functions, NIST. [Online https://dlmf.nist.gov/8.19#E1].