Generalized Rough Cesaro and Lacunary Statistical Triple Difference Sequence Spaces in Probability of Fractional Order Defined by Musielak-Orlicz Function

Esi, A.; Subramanian, N.

doi:10.28924/2291-8639-16-2018-16

Research Article

Generalized Rough Cesaro and Lacunary Statistical Triple Difference Sequence Spaces in Probability of Fractional Order Defined by Musielak-Orlicz Function

A. Esi
N. Subramanian¹*

SASTRA University

* Corresponding author

Abstract

We generalized the concepts in probability of rough Ces$\grave{a}$ro and lacunary statistical by introducing the difference operator $\Delta^{\alpha}_{\gamma}$ of fractional order, where $\alpha$ is a proper fraction and $\gamma=\left(\gamma_{mnk}\right)$ is any fixed sequence of nonzero real or complex numbers. We study some properties of this operator involving lacunary sequence $\theta$ and arbitrary sequence $p=\left(p_{rst}\right)$ of strictly positive real numbers and investigate the topological structures of related with triple difference sequence spaces.

The main focus of the present paper is to generalized rough Ces$\grave{a}$ro and lacunary statistical of triple difference sequence spaces and investigate their topological structures as well as some inclusion concerning the operator $\Delta^{\alpha}_{\gamma}.$

How to Cite

A. Esi, N. Subramanian, Generalized Rough Cesaro and Lacunary Statistical Triple Difference Sequence Spaces in Probability of Fractional Order Defined by Musielak-Orlicz Function, Int. J. Anal. Appl. 16 (2018), 16–24. https://doi.org/10.28924/2291-8639-16-2018-16

BibTeX

@article{Esi2018,
  author  = {Esi, A. and Subramanian, N.},
  title   = {Generalized Rough Cesaro and Lacunary Statistical Triple Difference Sequence Spaces in Probability of Fractional Order Defined by Musielak-Orlicz Function},
  journal = {Int. J. Anal. Appl.},
  volume  = {16},
  year    = {2018},
  pages   = {16--24},
  doi     = {10.28924/2291-8639-16-2018-16}
}

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