%0 Journal Article 
%A León Saavedra, Fernando
%A Listán García, María del Carmen
%A Romero de la Rosa, María Pilar
%T On statistical convergence and strong Cesaro convergence by moduli for double sequences
%D 2022
%@ 1029-242X
%U http://hdl.handle.net/10498/27200
%X A remarkable result on summability states that the statistical convergence and the
strong Cesàro convergence are closely connected. Given a modulus function f, we
will establish that a double sequence that is f -strong Cesàro convergent is always
f -statistically convergent. The converse, in general, is false even for bounded
sequences. However, we will characterize analytically the modulus functions f for
which the converse of this result remains true. The results of this paper adapt to
several variables the results obtained in (León-Saavedra et al. in J. Inequal. Appl.
12:298, 2019).
%K Statistical convergence
%K Double sequences
%K Strong Cesàro convergence
%K Modulus function
%~ Universidad de Cádiz