Tauberian Theorems for Weighted Means of Double Sequences in Intuitionistic Fuzzy Normed Spaces

  • Lakshmi Narayan Mishra Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore 632 014, Tamil Nadu, India
  • Mohd. Raiz Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India
  • Laxmi Rathour Ward Number - 16, Bhagatbandh, Anuppur 484 224, Madhya Pradesh, India
  • Vishnu Narayan Mishra Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India
DOI: https://doi.org/10.2298/YJOR210915005M

Abstract

We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces (IFNS), and obtain necessary and sufficient Tauberian conditions under which convergence of double sequences in IFNS follows from their weighted mean summability. This study reveals also Tauberian results for some known summation methods in the special cases.

Published
2022-04-04
How to Cite
MISHRA, Lakshmi Narayan et al. Tauberian Theorems for Weighted Means of Double Sequences in Intuitionistic Fuzzy Normed Spaces. Yugoslav Journal of Operations Research, [S.l.], v. 32, n. 3, p. 377-388, apr. 2022. ISSN 2334-6043. Available at: <https://yujor.fon.bg.ac.rs/index.php/yujor/article/view/1036>. Date accessed: 21 dec. 2024. doi: https://doi.org/10.2298/YJOR210915005M.
Citation Formats
Issue
Vol 32 No 3 (2022)
Section
Research Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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