Calculations in new sequence spaces

@article{deMalafosse2007,
abstract = {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.},
author = {de Malafosse, Bruno},
journal = {Archivum Mathematicum},
keywords = {infinite linear system; operator of first order difference; Banach algebra with identity; BK space; infinite linear system; operator of first order difference; Banach algebra with identity; BK space},
language = {eng},
number = {1},
pages = {1-18},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Calculations in new sequence spaces},
url = {http://eudml.org/doc/250184},
volume = {043},
year = {2007},
}

TY - JOUR
AU - de Malafosse, Bruno
TI - Calculations in new sequence spaces
JO - Archivum Mathematicum
PY - 2007
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 043
IS - 1
SP - 1
EP - 18
AB - 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.
LA - eng
KW - infinite linear system; operator of first order difference; Banach algebra with identity; BK space; infinite linear system; operator of first order difference; Banach algebra with identity; BK space
UR - http://eudml.org/doc/250184
ER -

References

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