We show some estimates for the logarithmic mean that are obtained from operator inequalities between the Barbour path and the Heinz means.

We present some nonlinear characterizations of the automorphisms of the operator algebra B(H) and the function algebra C(X) by means of their spectrum preserving properties.

A robust archived differential evolution algorithm is put forward by means of embedding a flexibility processing operator and an efficiency processing operator based on original DE and ADE. A special constraint-handling mechanism based on dynamic penalty functions and fitness calculation of individuals is adopted in the proposed method to deal with various constraints effectively, which is furt...

in this paper, we consider a particular class of integral equations of the fourth kind and show that tractability and differentiability index of the given system are 3. tractability and dierentiability index are introduced based on the-smoothing property of a volterra integral operator and index reduction procedure, respectively. using the notion of index, we give sucient conditions for the...

One of the current main strategies to understand a biological process at genome level is to cluster genes by their expression data obtained from DNA microarray experiments. The classic K-means clustering algorithm is a deterministic search and may terminate in a locally optimal clustering. In this paper, a genetic K-means clustering algorithm, called GKMCA, for clustering in gene expression dat...