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

Authors

  • N. Subramanian SASTRA University Department of Mathematics
  • N. Rajagopal SASTRA University Department of Mathematics http://orcid.org/0000-0002-2274-6968
  • P. Thirunavukarasu Periyar E.V.R. College (Autonomous)

DOI:

https://doi.org/10.5269/bspm.v37i4.32163

Keywords:

analytic sequence, Orlicz function, multiple triple sequence spaces, entire sequence, Riesz space

Abstract

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.

Author Biographies

  • N. Subramanian, SASTRA University Department of Mathematics
    Mathematics
  • P. Thirunavukarasu, Periyar E.V.R. College (Autonomous)
    P.G. and Research Department of Mathematics

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Published

2018-01-09

Issue

Section

Research Articles