Variant of thin sets and their influence in convergence
Filomat, Tome 37 (2023) no. 17, p. 5847
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
A class of subsets designated as very thin subsets of natural numbers has been studied and seen that theory of convergence may be extended further if very thin sets are given to play main role instead of thin or finite sets which refines even statistical convergence. While developing the theory of very thin sets, concepts of super lacunary and very very thin sets are evolved spontaneously. Influence of very thin sets is reflected in various ways mainly in the BW property of the ideal consisting of very thin sets.
Classification :
40A35, 54A20
Keywords: Thin sets, Lacunary sets, Very thin sets, Ideal convergence, BW property
Keywords: Thin sets, Lacunary sets, Very thin sets, Ideal convergence, BW property
Manoranjan Singha; Ujjal Kumar Hom. Variant of thin sets and their influence in convergence. Filomat, Tome 37 (2023) no. 17, p. 5847 . doi: 10.2298/FIL2317847S
@article{10_2298_FIL2317847S,
author = {Manoranjan Singha and Ujjal Kumar Hom},
title = {Variant of thin sets and their influence in convergence},
journal = {Filomat},
pages = {5847 },
year = {2023},
volume = {37},
number = {17},
doi = {10.2298/FIL2317847S},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317847S/}
}
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