engleski

Interpolating Jensen-type operator inequalities for log-convex and superquadratic functions

Motivated by some recently established Jensen-type operator inequalities related to a convex function, in the present paper we derive several more accurate Jensen-type operator inequalities for certain subclasses of convex functions. More precisely, we obtain interpolating series of Jensen-type inequalities utilizing 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.

convex function, log-convex function, superquadratic function, positive operator, positive linear map

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