@misc{10498/27200,
year = {2022},
month = {5},
url = {http://hdl.handle.net/10498/27200},
abstract = {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).},
publisher = {SPRINGER},
keywords = {Statistical convergence},
keywords = {Double sequences},
keywords = {Strong Cesàro convergence},
keywords = {Modulus function},
title = {On statistical convergence and strong Cesaro convergence by moduli for double sequences},
doi = {10.1186/s13660-022-02799-9},
author = {León Saavedra, Fernando and Listán García, María del Carmen and Romero de la Rosa, María Pilar},
}