Tauberian theorems for weighted means of double sequences in intuitionistic fuzzy normed spaces

Authors

  • Mishra Lakshmi Narayan Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India
  • Mohd Raiz Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh, India
  • Laxmi Rathour Bhagatbandh, Anuppur, Madhya Pradesh, India
  • Mishra Vishnu Narayan Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh, India

DOI:

https://doi.org/10.2298/YJOR210915005M

Keywords:

Tauberian Theorem, Double Sequence, Intuitionistic Fuzzy, Summability Methods, Summation Methods

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.

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Published

2022-08-01

Issue

Vol. 32 No. 3 (2022)

Section

Research Articles

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