%0 Journal Article 
%A Romero de la Rosa, María Pilar
%T On Modulated Lacunary Statistical Convergence of Double Sequences
%D 2023
%@ 2227-7390
%U http://hdl.handle.net/10498/32437
%X In earlier works, F. León and coworkers discovered a remarkable structure between statistical
convergence and strong Cesàro convergence, modulated by a function f (called a modulus
function). Such nice structure pivots around the notion of compatible modulus function. In this paper,
we will explore such a structure in the framework of lacunary statistical convergence for double
sequences and discover that such structure remains true for lacunary compatible modulus functions.
Thus, we continue the work of Hacer ¸Senül, Mikail Et and Yavuz Altin, and we fully solve some
questions posed by them.
%K double sequences
%K lacunary convergence
%K statistical convergence
%K strong Cesàro convergence
%K modulus function
%~ Universidad de Cádiz