Sentence examples for mean bounds for from inspiring English sources

Next, we prove that and are the best possible power mean bounds for the product.

for all with, and and are the optimal upper and lower power mean bounds for the identric mean.

and and are the best possible lower and upper power-type Heron mean bounds for the Seiffert mean, respectively.

It is the aim of this paper to find the best possible generalized logarithmic mean bounds for the Neuman-Sándor and Seiffert means.

The purpose of this paper is to present the optimal upper and lower power-type Heron mean bounds for the Seiffert mean.

for ; (2) for, and for, each equality occurs if and only if, and and are the best possible power mean bounds for the product.

Finally, we prove that (L a,b /4+3T a,b /4) and (lambda L a,b)+ 1- lambda)T a,b)) are the best possible lower and upper mean bound for the Neuman-Sándor mean (M a,b)).

We give tight bounds for the logarithmic mean.

We obtained new and tight bounds for the logarithmic mean for unitarily invariant norm.

In the previous paper, we derived tight bounds for the logarithmic mean in the case of the Frobenius norm, inspired by the work of Zou in [1].

As application, we show variation inequalities for mean bounded positive invertible operators on Lp with positive inverses.