THE BACKWARD OPERATOR OF DOUBLE ALMOST $(\lambda_m \mu_n)$  CONVERGENCE IN $\chi^2$-RIESZ SPACE DEFINED BY A MUSIELAK-ORLICZ FUNCTION

Vandana; Deepmala; N. Subramanian; Lakshmi Narayan Mishra

THE BACKWARD OPERATOR OF DOUBLE ALMOST $(\lambda_m \mu_n)$ CONVERGENCE IN $\chi^2$-RIESZ SPACE DEFINED BY A MUSIELAK-ORLICZ FUNCTION

Vandana Department of Management Studies, Indian Institute of Technology, Madras, Tamil Nadu-600 036, INDIA

Deepmala Mathematics Discipline, PDPM Indian Institute of Information Technology, Design and Manufacturing, Jabalpur-482 005, INDIA

N. Subramanian Department of Mathematics, SASTRA University, Thanjavur-613 401, INDIA

Lakshmi Narayan Mishra Department of Mathematics, Lovely Professional University, Phagwara, Punjab-144 411, INDIA

Volume 6, Issue 2 Pages 31-44 December 31, 2017 190 downloads

Article overview

Abstract

In this paper we introduce the backward operator is ∇ and study the notion of ∇-statistical convergence and ∇-statistical Cauchy sequence using by almost (λ_mμ_n) convergence in χ2 -Riesz space and also some inclusion theorems are discussed.

Keywords and Phrases

Analytic sequenceMuseialk-Orlicz functiondouble sequenceschi sequenceLambdaRiesz spacestronglystatistical convergent.

AMS Subject Classification

40A05, 40C05, 40D05.

Reference information

How to Cite

Vandana, Deepmala, N. Subramanian, Lakshmi Narayan Mishra (2017). THE BACKWARD OPERATOR OF DOUBLE ALMOST $(\lambda_m \mu_n)$ CONVERGENCE IN $\chi^2$-RIESZ SPACE DEFINED BY A MUSIELAK-ORLICZ FUNCTION. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 6(2), 31-44.

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