Randomness of Lacunary statistical acceleration convergence of χ3 over p-­metric spaces defined by Orlicz functions

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  • Natarajan Rajagopal1,
  • Nagarajan Subramanian2,
  • Pannirselvam Thirunavukkarasu3,
  1. Department of Mathematics, SASTRA Deemed University, Thanjavur-613 401, India.
  2. Department of Mathematics, SASTRA Deemed University,Thanjavur-613 401, India.
  3. P.G. and Research Department of Mathematics, Periyar E.V.R. College (Autonomous),Tiruchirappalli{620 023, India.

Published in Issue 2025-11-09

How to Cite

Randomness of Lacunary statistical acceleration convergence of χ3 over p-­metric spaces defined by Orlicz functions. (2025). Communications in Nonlinear Analysis, 4(2). https://oiccpress.com/cna/article/view/17906

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Abstract

In this article, the notion of Randomness of Lacunary statistical acceleration convergence of χ3 over p-metric spaces dened by a sequence of Orlicz has been introduced and some theorems related to that concept have been established using four-dimensional matrix transformations. Author's construction with new definitions and also a new statement of theorems of proofs are formulated. 

Keywords

  • Analytic sequence,
  • double sequences,
  • χ3 space,
  • Musielak-Orlicz function,
  • random p-metric space,
  • lacunary sequence,
  • statistical convergence,
  • converging faster,
  • converging at the same rate,
  • acceleration eld,
  • triple natural density
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References

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