Ces\`aro summability of integrals of fuzzy-number-valued functions
Enes Yavuz, \"Ozer Talo, H\"usamettin \c{C}o\c{s}kun
TL;DR
This paper introduces Cesàro summability for integrals of fuzzy-number-valued functions, establishing conditions under which Cesàro summability implies convergence, and extends classical Tauberian conditions to the fuzzy context.
Contribution
It develops fuzzy analogues of classical summability and Tauberian conditions, providing new criteria for convergence of improper fuzzy integrals.
Findings
Cesàro summability defined for fuzzy integrals
One-sided Tauberian conditions established for fuzzy integrals
Fuzzy analogues of Schmidt and Landau conditions derived
Abstract
In the present study, we have introduced Ces\`{a}ro summability of integrals of fuzzy-number-valued functions and given one-sided Tauberian conditions under which convergence of improper fuzzy Riemann integrals follows from Ces\`{a}ro summability. Also, fuzzy analogues of Schmidt type slow decrease and Landau type one-sided Tauberian conditions have been obtained.
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