TY - JOUR
T1 - Matrix transformations of classes of geometric sequences
AU - Selvaraj, C. R.
AU - Selvaraj, Suguna
PY - 1993
Y1 - 1993
N2 - For any fixed t satisfying 0 < t < 1, let Gt denote the set of all sequences which are dominated by a constant multiple of any sequence [rn] with r < t. In this paper we characterize three kinds of matrix transformations: (i) those from Gt to the convergent sequences, (ii) those from Gt to the null sequences, and (iii) those from Gt to the bounded sequences. Also, the classes of three well-known summability methods are investigated as mappings on Gt.
AB - For any fixed t satisfying 0 < t < 1, let Gt denote the set of all sequences which are dominated by a constant multiple of any sequence [rn] with r < t. In this paper we characterize three kinds of matrix transformations: (i) those from Gt to the convergent sequences, (ii) those from Gt to the null sequences, and (iii) those from Gt to the bounded sequences. Also, the classes of three well-known summability methods are investigated as mappings on Gt.
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U2 - 10.1216/rmjm/1181072544
DO - 10.1216/rmjm/1181072544
M3 - Article
AN - SCOPUS:57949099768
SN - 0035-7596
VL - 23
SP - 1099
EP - 1106
JO - Rocky Mountain Journal of Mathematics
JF - Rocky Mountain Journal of Mathematics
IS - 3
ER -