In this paper we define new sequence spaces using the concepts of strong summability and boundedness of index $p>0$ of $r$-th order difference sequences. We establish sufficient conditions for these spaces to reduce to certain spaces of null and bounded sequences.
@article{108045,
author = {Bruno de Malafosse},
title = {Calculations in new sequence spaces},
journal = {Archivum Mathematicum},
volume = {043},
year = {2007},
pages = {1-18},
zbl = {1164.40013},
mrnumber = {2310120},
language = {en},
url = {http://dml.mathdoc.fr/item/108045}
}
de Malafosse, Bruno. Calculations in new sequence spaces. Archivum Mathematicum, Tome 043 (2007) pp. 1-18. http://gdmltest.u-ga.fr/item/108045/
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