@misc{10498/32437,
year = {2023},
url = {http://hdl.handle.net/10498/32437},
abstract = {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.},
publisher = {MDPI},
keywords = {double sequences},
keywords = {lacunary convergence},
keywords = {statistical convergence},
keywords = {strong Cesàro convergence},
keywords = {modulus function},
title = {On Modulated Lacunary Statistical Convergence of Double Sequences},
doi = {10.3390/MATH11041042},
author = {Romero de la Rosa, María Pilar},
}