ABSTRACT. Replacing the triangle inequality, in the definition of a norm, by kx + yk

q

≤

2q−1 (kxk

q

+ kyk

q

), we introduce the notion of a q-norm. We establish that every q-norm is

a norm...

ABSTRACT. We introduce the notions of power and Euler-Lagrange norms by replacing the

triangle inequality, in the definition of norm, by appropriate inequalities. We prove that every

usual norm is a power norm and vice versa. We also...

In this note, we study the normed of a linear mapping T from a linear

subspace D (T) of a normed space A into A, and obtain some results on the closability

of densely defined derivations in normed algebras. We enquire under what...

We introduce the relation ρλ-orthogonality in the setting of normed spaces as an extension of some orthogonality relations based on norm derivatives and present some of its essential properties. Among other things, we give a characterization...

In this paper, a non-strictly convex norm is exhibited. More precisely, we will show that X/c0 is not strictly convexifiable, where X is subspace of l$^\\\\infty$....

The performance of three versions of the Gibbs sampling algorithm, and of two versions of the Langevin-Hastings algorithm were studied in a specific application involving an analysis of a reaction norm model. Two datasets were simulated using...

Institutions are considered as the constraints on decision makers’ behaviors. Studies analyzing institutions and the management of natural resources have mainly focused on the impact of institutions on the process of ...

On minimal norms on Mn...

, causing non-identifiability. The reaction norm model with unknown covariates (RNUC) is a model in which unknown environmental effects can be inferred jointly with the remaining parameters. The problem of identifiability of parameters at the level...