On Strong Matrix Summability with Respect to a Modulus and Statistical Convergence
Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 194-198
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The definition of strong Cesaro summability with respect to a modulus is extended to a definition of strong A -summability with respect to a modulus when A is a nonnegative regular matrix summability method. It is shown that if a sequence is strongly A-summable with respect to an arbitrary modulus then it is A-statistically convergent and that Astatistical convergence and strong A-summability with respect to a modulus are equivalent on the bounded sequences.
Connor, Jeff. On Strong Matrix Summability with Respect to a Modulus and Statistical Convergence. Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 194-198. doi: 10.4153/CMB-1989-029-3
@article{10_4153_CMB_1989_029_3,
author = {Connor, Jeff},
title = {On {Strong} {Matrix} {Summability} with {Respect} to a {Modulus} and {Statistical} {Convergence}},
journal = {Canadian mathematical bulletin},
pages = {194--198},
year = {1989},
volume = {32},
number = {2},
doi = {10.4153/CMB-1989-029-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-029-3/}
}
TY - JOUR AU - Connor, Jeff TI - On Strong Matrix Summability with Respect to a Modulus and Statistical Convergence JO - Canadian mathematical bulletin PY - 1989 SP - 194 EP - 198 VL - 32 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-029-3/ DO - 10.4153/CMB-1989-029-3 ID - 10_4153_CMB_1989_029_3 ER -
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