Title: Randomness of lacunary statistical acceleration convergence of Γ³ over p-metric spaces defined by Orlicz functions

Authors: N. Subramanian; A. Esi

Addresses: Department of Mathematics, SASTRA University, Thanjavur-613 401, India ' Department of Mathematics, Adiyaman University, 02040 Adiyaman, Turkey

Abstract: In this article the notion of randomness of lacunary statistical acceleration convergence of Γ³ over p-metric spaces defined by sequence of Orlicz has been introduced and some theorems related to that concept have been established using the four dimensional matrix transformations. The authors' construction with new definitions and also new statement of theorems of proofs are formulated.

Keywords: analytic sequence; double sequences; Γ³ space; Musielak-Orlicz function; random p-metric space; lacunary sequence; statistical convergence; converging faster; converging at the same rate; acceleration field; triple natural density.

DOI: 10.1504/IJCSM.2017.085864

International Journal of Computing Science and Mathematics, 2017 Vol.8 No.4, pp.291 - 300

Received: 26 Mar 2016
Accepted: 13 Feb 2017
Published online: 16 Aug 2017 *

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