Riesz almost lacunary multiple triple sequence spaces of $\Gamma^{3}$ defined by a Musielak-Orlicz function | Zendy

N. Subramanian | Zendy; N. Rajagopal | Zendy; P. Thirunavukarasu | Zendy

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Riesz 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.

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