Modes of $\left(\alpha \right)$-convergence of sequences of functions

E. Athanassiadou, A. Boccuto, and N. Papanastassiou. "Modes of $(\alpha )$-convergence of sequences of functions." Commentationes Mathematicae 53.1 (2013): null. <http://eudml.org/doc/292524>.

@article{E2013,
abstract = {In this paper we deal with continuous convergence and some related properties of sequences of functions. We present some conditions to get uniform convergence of the sequence involved to a constant function. As an application, we give a result on equivalence between modes of convergence.},
author = {E. Athanassiadou, A. Boccuto, N. Papanastassiou},
journal = {Commentationes Mathematicae},
keywords = {sympathetic convergence, fine convergence, sympathetic-$\alpha $-convergence, fine-$\alpha $-convergence},
language = {eng},
number = {1},
pages = {null},
title = {Modes of $(\alpha )$-convergence of sequences of functions},
url = {http://eudml.org/doc/292524},
volume = {53},
year = {2013},
}

TY - JOUR
AU - E. Athanassiadou
AU - A. Boccuto
AU - N. Papanastassiou
TI - Modes of $(\alpha )$-convergence of sequences of functions
JO - Commentationes Mathematicae
PY - 2013
VL - 53
IS - 1
SP - null
AB - In this paper we deal with continuous convergence and some related properties of sequences of functions. We present some conditions to get uniform convergence of the sequence involved to a constant function. As an application, we give a result on equivalence between modes of convergence.
LA - eng
KW - sympathetic convergence, fine convergence, sympathetic-$\alpha $-convergence, fine-$\alpha $-convergence
UR - http://eudml.org/doc/292524
ER -