A note on weak $^{*}$ -convergence in $h^{1}(\mathbb{R}^{d})$

A note on convergence in fuzzy metric spaces

The sequential $p$-convergence in a fuzzy metric space, in the sense of George and Veeramani, was introduced by D. Mihet as a weaker concept than convergence. Here we introduce a stronger concept called $s$-convergence, and we characterize those fuzzy metric spaces in which convergent sequences are $s$-convergent. In such a case $M$ is called an $s$-fuzzy metric. If $(N_M,ast)$ is a fuzzy metri...

A note on weak dividing

We study the notion of weak dividing introduced by S. Shelah. In particular we prove that T is stable iff weak dividing is symmetric. In order to study simple theories Shelah originally defined weak dividing in [6] . This notion is overshadowed by that of dividing, as the first author proved that dividing is the right well-behaved notion for simple theories [2],[3],[5],and [4]. However Dolich’s...

A Note on Subseries Convergence

A Note on Multigrid Convergence

We generalise the abstract V-cycle convergence proof of 20] and 21] to include unsymmetricsmoothing operations as well. In the case of full regularity we obtain better convergence with an increasing number of smoothing steps, thus recovering the results of 2]. Applying our theory to an anisotropic model problem we obtain optimal results in this case as well.

a note on convergence in fuzzy metric spaces

the sequential $p$-convergence in a fuzzy metric space, in the sense of george and veeramani, was introduced by d. mihet as a weaker concept than convergence. here we introduce a stronger concept called $s$-convergence, and we characterize those fuzzy metric spaces in which convergent sequences are $s$-convergent. in such a case $m$ is called an $s$-fuzzy metric. if $(n_m,ast)$ is a fuzzy metri...