Riesz Triple Fuzzy Ideal of Almost Lacunary Cesàro C111 statistical convergence of χ 3 defined by a Musielak Orlicz function

Vandana .; N. Subramanian; Lakshmi Narayan Mishra

Vandana . Department of Mathematics, School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur-492010, (C.G.), India
N. Subramanian Department of Mathematics, SASTRA University Thanjavur-613 401, India
Lakshmi Narayan Mishra Department of Mathematics, Mody University of Science & Technology, Lakshmangarh, Sikar Road, Sikar, Rajasthan 332 311, India

Keywords: analytic sequence, Orlicz function, triple sequences, chi sequence, Riesz space, statistical convergence, Ceasaro C1, 1, statistical convergence.

Abstract

In this paper we introduce a new concept for Riesz Fuzzy ideal of almost lacunary Ces´aro statistical convergence of χ 3 sequence spaces strong P− convergent to zero with respect to an Orlicz function and examine some properties of the resulting sequence spaces. We also introduce and study statistical convergence of Riesz Fuzzy ideal of almost lacunary Ces´aro of χ 3 sequence spaces and also some inclusion theorems are discussed.

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