Geodesic
Lacunary strong $(A_\sigma, p)$-convergence
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 3, pp. 691-697

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The definition of lacunary strongly convergence is extended to the definition of lacunary strong $(A_{\sigma }, p)$-convergence with respect to invariant mean when $A$ is an infinite matrix and $p = (p_i)$ is a strictly positive sequence. We study some properties and inclusion relations.
Classification : 40A05, 40F05
Keywords: lacunary sequence; invariant convergence; infinite matrix 
@article{CMJ_2005__55_3_a10,
     author = {Bilgin, Tunay},
     title = {Lacunary strong $(A_\sigma, p)$-convergence},
     journal = {Czechoslovak Mathematical Journal},
     pages = {691--697},
     publisher = {mathdoc},
     volume = {55},
     number = {3},
     year = {2005},
     mrnumber = {2153093},
     zbl = {1081.40001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2005__55_3_a10/}
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Bilgin, Tunay. Lacunary strong $(A_\sigma, p)$-convergence. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 3, pp. 691-697. http://geodesic.mathdoc.fr/item/CMJ_2005__55_3_a10/