Open AccessRiesz almost lacunary multiple triple sequence spaces of $\Gamma^{3}$ defined by a Musielak-Orlicz function
Author(s) -
N. Subramanian,
N. Rajagopal,
P. Thirunavukarasu
Publication year - 2018
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v37i4.32163
Subject(s) - lacunary function , mathematics , sequence (biology) , convergence (economics) , pure mathematics , zero (linguistics) , function (biology) , linguistics , philosophy , genetics , evolutionary biology , economics , biology , economic growth
In this paper we introduce a new concept for Riesz almost lacunary $\Gamma^{3}$ sequence spaces strong $P-$ convergent to zero with respect to an Musielak-Orlicz function and examine some properties of the resulting sequence spaces. We also introduce and study statistical convergence of Riesz almost lacunary $\Gamma^{3}$ sequence spaces and also some inclusion theorems are discussed.