@article{Yapalı2026, 
author = {Reha Yapalı and Utku Gürdal},
title = {Tauberian theorems and Cesàro summability in        L    −fuzzy normed spaces},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {7},
pages = {21519-21540},
keywords = {L−fuzzy normed spaces, Cesàro summability, Tauberian theorems, slowly oscillating sequences, fuzzy functional analysis},
url = {https://www.sciopen.com/article/10.3934/math.2026872},
doi = {10.3934/math.2026872},
abstract = {This paper investigates the Cesàro summability method in the setting of        L    −fuzzy normed spaces, extending the classical theory of summability to the framework of        L    −fuzzy norms. We also establish a Tauberian theorem characterizing the conditions under which Cesàro summability implies ordinary convergence in this setting. Furthermore, we derive an analogue of Hardy's classical two-sided Tauberian theorem by employing the notion of q-boundedness in        L    −fuzzy normed spaces, thereby providing new criteria for analyzing the convergence behavior of sequences and series in this context.}
}