alexa Riesz Triple Almost Lacunary and#967;<sup>3</sup> Sequence Spaces Defined by a Orlicz Function-II | OMICS International| Abstract
ISSN: 1736-4337

Journal of Generalized Lie Theory and Applications
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  • Research Article   
  • J Generalized Lie Theory Appl, Vol 11(3): 285
  • DOI: 10.4172/1736-4337.1000285

Riesz Triple Almost Lacunary χ3 Sequence Spaces Defined by a Orlicz Function-II

Vandana1, Deepmala2, Subramanian N3 and Lakshmi Narayan Mishra4,5*
1Department of Management Studies, Indian Institute of Technology, , Madras, Chennai 600 036, India
2Mathematics Discipline, PDPM Indian Institute of Information Technology, , Design and Manufacturing, Jabalpur 482 005, Madhya Pradesh, India
3Department of Mathematics, SASTRA University, Thanjavur-613 401, India
4Department of Mathematics, Lovely Professional University, Jalandhar Delhi G.T. Road, Phagwara, Punjab 144 411, India
5, L. 1627 Awadh Puri Colony Beniganj, Phase III, Opposite Industrial Training Institute (I.T.I.), Ayodhya Main Road, Faizabad-224 001, Uttar Pradesh, India
*Corresponding Author : Lakshmi Narayan Mishra, Department of Mathematics, Lovely Professional University, Jalandhar Delhi G.T. Road, Phagwara, Punjab 144 411, India, Tel: +91 9838375431, Email: [email protected]

Received Date: Oct 05, 2017 / Accepted Date: Dec 12, 2017 / Published Date: Dec 22, 2017

Abstract

The aim of this paper is to introduce a new concept for strong almost Pringsheim convergence with respect to an Orlicz function, combining with Riesz mean for triple sequences and a triple lacunary sequence. We also introduce and study statistics convergence of Riesz almost lacunary χ3 sequence spaces and also some inclusion theorems are discussed.

Keywords: Analytic sequence; Modulus function; Double sequences; Chi sequence; Riesz space; Riesz convergence; Pringsheim convergence

Citation: Vandana, Deepmala, Subramanian N, Mishra LN (2017) Riesz Triple Almost Lacunary χ3 Sequence Spaces Defined by a Orlicz Function-II. J Generalized Lie Theory Appl 11: 285. Doi: 10.4172/1736-4337.1000285

Copyright: © 2017 Vandana, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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