Suppose that X, Y are positive random variables and m is a numerical (commutative) mean. We prove that the inequality E(m(X, Y )) leq m(E(X ), E(Y )) holds if and only if the mean is generated by a concave function. With due changes we also prove that the same inequality holds for all operator means in the Kubo–Ando setting. The case of the harmonic mean was proved by C. R. Rao and B. L. S. Prakasa Rao
In this paper we give the refinement of Jensen-Mercer’s and power mean inequalities for operat...
AbstractRecently, Sagae and Tanabe defined a geometric mean of positive definite matrices and proved...
Abstract. In this paper we derive some improvements of means inequalities for Hilbert space operator...
Suppose that X, Y are positive random variables and m is a numerical (commutative) mean. We prove th...
Abstract In this paper, we obtain two refinements of the ordering relations among Heinz means with d...
(communicated by R. Bhatia) Abstract. We derive bounds on the variance of a random variable in terms...
AbstractIn Statistics, generalized means of positive random variables are often considered. As is we...
We develop an inequality for the expectation of a product of random variables generalizing the rec...
We develop an inequality for the expectation of a product of n random variables gener-alizing the re...
For , the power mean of order of two positive numbers and is defined by . In this paper, we...
We present in this paper a necessary and sufficient condition to establish the inequality between ge...
We show that an almost trivial inequality between the first and second moment and the maximal value ...
Abstract. Let A and B be strictly positive operators on a Hilbert space H such that 0 < m B M for...
AbstractIn this paper we gave a generalization of power means which include positive nonlinear funct...
AbstractThe purpose of this paper is to give new characterizations of some mean-values of two positi...
In this paper we give the refinement of Jensen-Mercer’s and power mean inequalities for operat...
AbstractRecently, Sagae and Tanabe defined a geometric mean of positive definite matrices and proved...
Abstract. In this paper we derive some improvements of means inequalities for Hilbert space operator...
Suppose that X, Y are positive random variables and m is a numerical (commutative) mean. We prove th...
Abstract In this paper, we obtain two refinements of the ordering relations among Heinz means with d...
(communicated by R. Bhatia) Abstract. We derive bounds on the variance of a random variable in terms...
AbstractIn Statistics, generalized means of positive random variables are often considered. As is we...
We develop an inequality for the expectation of a product of random variables generalizing the rec...
We develop an inequality for the expectation of a product of n random variables gener-alizing the re...
For , the power mean of order of two positive numbers and is defined by . In this paper, we...
We present in this paper a necessary and sufficient condition to establish the inequality between ge...
We show that an almost trivial inequality between the first and second moment and the maximal value ...
Abstract. Let A and B be strictly positive operators on a Hilbert space H such that 0 < m B M for...
AbstractIn this paper we gave a generalization of power means which include positive nonlinear funct...
AbstractThe purpose of this paper is to give new characterizations of some mean-values of two positi...
In this paper we give the refinement of Jensen-Mercer’s and power mean inequalities for operat...
AbstractRecently, Sagae and Tanabe defined a geometric mean of positive definite matrices and proved...
Abstract. In this paper we derive some improvements of means inequalities for Hilbert space operator...
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