2018/05/10 by Bakherad, Mojtaba, Kian, Mohsen, Krnic, Mario +1
#FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1805.03940
Motivated by some recently established operator Jensen-type inequalities related to a usual convexity, in the present paper we derive several more accurate operator Jensen-type inequalities for certain subclasses of convex functions. More precisely, we obtain interpolating series of Jensen-type inequalities for log-convex and non-negative superquadratic functions. In particular, we obtain the corresponding refinements of the Jensen-Mercer operator inequality for such classes of functions.