Tauberian theorems for (N̄, p, q, w) summable triple sequences of fuzzy numbers

Authors

  • Carlos Bernal Granados Universidad Nacional Abierta y a Distancia
  • Ajoy Kanti Das Tripura University
  • Suman Das Tripura University

DOI:

https://doi.org/10.21167/cqdv26e26013

Keywords:

Triple sequence of fuzzy numbers, Weighted mean method, Tauberian theorems and conditions

Abstract

In this paper, we introduce the notion of weighted mean method (N̄, p, q, w) of triple sequences of fuzzy numbers and and show necessary and sufficient Tauberian conditions under which convergence in Pringsheim's sense of a triple sequence of fuzzy numbers follows from its $ (\bar{N},p,q,w) $ summability. These conditions are weaker than the weighted analogues of Landau's conditions and Schmidt's slow oscillation condition in some senses for three-dimensional case.

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Published

2026-01-15

Issue

v. 26, 2025

Section

Artigos de Pesquisa

License

Copyright (c) 2026 C.Q.D. - Revista Eletrônica Paulista de Matemática

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

GRANADOS, Carlos Bernal; DAS, Ajoy Kanti; DAS, Suman. Tauberian theorems for (N̄, p, q, w) summable triple sequences of fuzzy numbers. C.Q.D. - Revista Eletrônica Paulista de Matemática, Bauru, v. 26, p. e26013, 2026. DOI: 10.21167/cqdv26e26013. Disponível em: https://revistas.bauru.unesp.br/index.php/revistacqd/article/view/509. Acesso em: 18 jan. 2026.