Sentence examples for mean inequality of from inspiring English sources

The mean inequality of two random variables [6].

In [6], the author proves the mean inequality of two random variables.

The purpose of the present paper is to establish a recurring mean inequality, which generalizes the mean inequality of two random variables to random variables.

Sagae and Tanabe [6] establish a mixed A-G mean inequality for a finite number of strictly positive operators.

In this section, we use the scalar ratio type arithmetic-geometric mean inequality to get a series of operator versions.

The object of the present paper is to investigate the coefficients estimates, distortion properties, the radii of starlikeness and convexity, subordination theorems, partial sums and integral mean inequalities for classes of functions with two fixed points.

The real problem the left ought to be dealing with is what Michaels calls "class," by which he means inequalities of income and wealth.

Then we have the following mixed-mean inequalities of Nanjundiah [3] (see also [4]).

In Section 3, we focus ourselves on comparison results, that is, on how we could obtain mean-inequalities of interest using this new formulation.

By using the extreme points theory we obtain necessary and sufficient convolution conditions, coefficients estimates, distortion theorems, and integral mean inequalities for these classes of functions.

In such a way, they get refinements and converses of numerous mean inequalities for Hilbert space operators.