RT journal article
T1 On Modulated Lacunary Statistical Convergence of Double Sequences
A1 Romero de la Rosa, María Pilar
A2 Matemáticas
K1 double sequences
K1 lacunary convergence
K1 statistical convergence
K1 strong Cesàro convergence
K1 modulus function
AB In earlier works, F. León and coworkers discovered a remarkable structure between statisticalconvergence and strong Cesàro convergence, modulated by a function f (called a modulusfunction). 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 doublesequences 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 somequestions posed by them.
PB MDPI
SN 2227-7390
YR 2023
FD 2023
LK http://hdl.handle.net/10498/32437
UL http://hdl.handle.net/10498/32437
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 09-nov-2026