arXiv subjects
Publications and source records attributed to Hifsi Altinok.
In this paper, we extend the notions of statistically convergence of order $β$ and strong Cesàro summability of order $β,$ and introduce the notions $f-$statistically convergence of order $β$ and strong Cesàro summability of order $β$ for $β\in \left( 0,1\right] $ with respect to an unbounded modulus function $f$ for sequences of fuzzy numbers and give some inclusion theorems.
In this paper, we define the spaces $N_{θ}^{β}\left( p,F,Δ^{m}\right) ,$ $S_{θ}^{β}\left( F,Δ^{m}\right) ,$ $w_{p}^{β}\left( F,Δ^{m}\right) $ for sequences of fuzzy numbers using generalized difference operator $Δ^{m}$ and a lacunary sequence $θ$ and give some relations between them, where $ β\in \left( 0,1\right] $ and $p>0$. Furthermore, in the last section of paper, some inclusion theorems are presented related to the spaces $ S_{θ}^{β}\left( F,Δ^{m}\right) $ and $w_{p}^{β}\left( θ,f,F,Δ^{m}\right) $ according to modulus function $f$.