Remarks on several types of convergence of bounded sequences
Communications in Mathematics, Tome 14 (2006) no. 1, pp. 3-12
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
In this paper we analyze relations among several types of convergences of bounded sequences, in particulars among statistical convergence, ${\cal I}_u$-convergence, $\varphi $-convergence, almost convergence, strong $p$-Cesàro convergence and uniformly strong $p$-Cesàro convergence.
Classification :
11K31, 40A05, 40A25, 40D25
Keywords: sequence; statistical convergence; ${\cal I}$-convergence; almost convergence; Cesàro convergence; uniform convergence; Euler function; prime number; $\varphi $-convergence
Keywords: sequence; statistical convergence; ${\cal I}$-convergence; almost convergence; Cesàro convergence; uniform convergence; Euler function; prime number; $\varphi $-convergence
@article{COMIM_2006__14_1_a0,
author = {Bal\'a\v{z}, V. and Strauch, O. and \v{S}al\'at, T.},
title = {Remarks on several types of convergence of bounded sequences},
journal = {Communications in Mathematics},
pages = {3--12},
publisher = {mathdoc},
volume = {14},
number = {1},
year = {2006},
mrnumber = {2298906},
zbl = {1124.40001},
language = {en},
url = {http://geodesic.mathdoc.fr/item/COMIM_2006__14_1_a0/}
}
TY - JOUR AU - Baláž, V. AU - Strauch, O. AU - Šalát, T. TI - Remarks on several types of convergence of bounded sequences JO - Communications in Mathematics PY - 2006 SP - 3 EP - 12 VL - 14 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/COMIM_2006__14_1_a0/ LA - en ID - COMIM_2006__14_1_a0 ER -
Baláž, V.; Strauch, O.; Šalát, T. Remarks on several types of convergence of bounded sequences. Communications in Mathematics, Tome 14 (2006) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/COMIM_2006__14_1_a0/