<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We investigate some properties of almost convergence and compare it with other kinds of convergence. Moreover, we present different modes of continuity considering almost, Single and ideal convergence, giving some relations between them and some examples. Finally, we pose some open problems.</p></abstract>

We investigate some properties of almost convergence and compare it with other kinds of convergence. Moreover, we present different modes of continuity considering almost, Single and ideal convergence, giving some relations between them and some examples. Finally, we pose some open problems.

Modes of continuity involving almost and ideal convergence

Department of Mathematics and Computer Sciences University of Perugia via Vanvitelli 1 I–06123 Perugia ITALY

Department of Mathematics University of Athens Panepistimiopolis Athens 15784 GREECE

Tatra Mountains Mathematical Publications

{"article-title":"Modes of continuity involving almost and ideal convergence"}

We investigate some properties of almost convergence and compare it with other kinds of convergence. Moreover, we present different modes of continuity...

Modes of continuity involving almost and ideal convergence

Published Online: Nov 19, 2012

Page range: 115 - 131

DOI: https://doi.org/10.2478/v10127-012-0032-x

Keywords
almost convergence, Single convergence, ideal convergence, Pringsheim-Single convergence, (Lorentz) uniform equal convergence, modes of continuity.

This content is open access.

Modes of continuity involving almost and ideal convergence

Published Online: Nov 19, 2012

Page range: 115 - 131

DOI: https://doi.org/10.2478/v10127-012-0032-x

Keywordsalmost convergence, Single convergence, ideal convergence, Pringsheim-Single convergence, (Lorentz) uniform equal convergence, modes of continuity.

This content is open access.

Keywords
almost convergence, Single convergence, ideal convergence, Pringsheim-Single convergence, (Lorentz) uniform equal convergence, modes of continuity.