Some inequalities for weighted and integral means of operator convex functions
Author:
Affiliation:
1. Mathematics, College of Engineering & Science Victoria University, PO Box 14428 Melbourne City, MC 8001, Australia.
Publisher
SUT Journal of Mathematics - Tokyo University of Science
Subject
General Mathematics
Reference20 articles.
1. [1] R. P. Agarwal and S. S. Dragomir, A survey of Jensen type inequalities for functions of selfadjoint operators in Hilbert spaces. Comput. Math. Appl. 59 (2010), no. 12, 3785–3812.
2. [2] V. Bacak, T. Vildan and R. Türkmen, Refinements of Hermite-Hadamard type inequalities for operator convex functions. J. Inequal. Appl. 2013, 2013:262, 10 pp.
3. [3] Nina Bary and M. D. Menchoff, Sur l’intégrale de Lebesgue-Stieltjes et les fonctions absolument continues de fonctions absolument continues, Annali di Matematica 5, 19–54 (1928).
4. [4] V. Darvish, S. S. Dragomir, H. M. Nazari and A. Taghavi, Some inequalities associated with the Hermite-Hadamard inequalities for operator h-convex functions. Acta Comment. Univ. Tartu. Math. 21 (2017), no. 2, 287–297.
5. [5] S. S. Dragomir, Operator Inequalities of the Jensen, Čebyšev and Grüss Type. Springer Briefs in Mathematics. Springer, New York, 2012. xii+121 pp. ISBN: 978-1-4614-1520-6.
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