In this paper, we study stochastic comparisons of order statistics of independent random variables with proportional hazard rates, using the notion of variance majorization.

The aim of this paper is using the majorization technique to identify the classes of trees with extermal (minimal or maximal) value of some topological indices, among all trees of order n ≥ 12

For vectors $X, Yin mathbb{R}^{n}$, we say $X$ is left matrix majorized by $Y$ and write $X prec_{ell} Y$ if for some row stochastic matrix $R, ~X=RY.$ Also, we write $Xsim_{ell}Y,$ when $Xprec_{ell}Yprec_{ell}X.$ A linear operator $Tcolon mathbb{R}^{p}to mathbb{R}^{n}$ is said to be a linear preserver of a given relation $prec$ if $Xprec Y$ on $mathbb{R}^{p}$ implies that $TXprec TY$ on $mathb...

The Na+-dependent glucose cotransporters (SGLT) are a family of glucose transporters that mediate an active, sodium-linked transport process against an electrochemical gradient. The SGLT are known to play important roles in absorption of dietary D-glucose and D-galactose from the intestinal lumen and in the reabsorption of D-glucose from the glomerular filtrate in kidney. To study the role and ...

Supplementation of crystalline lactose increases SGLT-1 mRNA relative abundance, glucose transport to the basolateral compartment, and reduces the LPS-mediated inhibitory effect on glucose transport in IPEC-J2 cells. 1 Summary A preliminary experiment was conducted to evaluate the effects of crystalline lactose on the relative abundance of sodium-dependent glucose transporter (SGLT)-1 mRNA in v...

BACKGROUND AND AIMS Sodium tissue content by 23Na magnetic resonance imaging (Na-MRI) has been validated in experimental and human studies. SGLT-2 inhibition blocks the reabsorption of glucose and of sodium in the proximal tubular cells in a 1:1 fashion. We hypothesized that SGLT-2 inhibition in patients with type 2 diabetes characterized by sodium retention leads to decreased tissue sodium con...

The glmnet package by [1] is an extremely fast implementation of the standard coordinate descent algorithm for solving l1 penalized learning problems. In this paper, we consider a family of coordinate majorization descent algorithms for solving the l1 penalized learning problems by replacing each coordinate descent step with a coordinate-wise majorization descent operation. Numerical experiment...

To minimize the primal support vector machine (SVM) problem, we propose to use iterative majorization. To do so, we propose to use iterative majorization. To allow for nonlinearity of the predictors, we use (non)monotone spline transformations. An advantage over the usual kernel approach in the dual problem is that the variables can be easily interpreted. We illustrate this with an example from...