RT journal article
T1 On statistical convergence and strong Cesaro convergence by moduli for double sequences
A1 León Saavedra, Fernando
A1 Listán García, María del Carmen
A1 Romero de la Rosa, María Pilar
A2 Matemáticas
K1 Statistical convergence
K1 Double sequences
K1 Strong Cesàro convergence
K1 Modulus function
AB A remarkable result on summability states that the statistical convergence and thestrong Cesàro convergence are closely connected. Given a modulus function f, wewill establish that a double sequence that is f -strong Cesàro convergent is alwaysf -statistically convergent. The converse, in general, is false even for boundedsequences. However, we will characterize analytically the modulus functions f forwhich the converse of this result remains true. The results of this paper adapt toseveral variables the results obtained in (León-Saavedra et al. in J. Inequal. Appl.12:298, 2019).
PB SPRINGER
SN 1029-242X
YR 2022
FD 2022-05
LK http://hdl.handle.net/10498/27200
UL http://hdl.handle.net/10498/27200
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026