Lacunary $A_{p}$-summable sequence spaces defined by Orlicz functions
Bilgin, Tunay
J. Math. Kyoto Univ., Tome 46 (2006) no. 4, p. 367-376 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this paper we introduce some new sequence spaces combining a lacunary sequence, an infinite matrix, a bounded sequence and an Orlicz function. We discuss some topological properties and establish some inclusion relations between these spaces. It is also shown that if a sequence is lacunary $A_{p}$-convergent with respect to an Orlicz function then it is lacunary strongly $S^{\theta}(A)$-statistically convergent.
Publié le : 2006-05-15
Classification:  46B45,  40A05,  46A45 
@article{1250281782,
     author = {Bilgin, Tunay},
     title = {Lacunary $A\_{p}$-summable sequence spaces defined by Orlicz functions},
     journal = {J. Math. Kyoto Univ.},
     volume = {46},
     number = {4},
     year = {2006},
     pages = { 367-376},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281782}
}

Bilgin, Tunay. Lacunary $A_{p}$-summable sequence spaces defined by Orlicz functions. J. Math. Kyoto Univ., Tome 46 (2006) no. 4, pp.  367-376. http://gdmltest.u-ga.fr/item/1250281782/