TY  - JOUR
T1  - A Study on Lacunary $\mathcal{I-}$Statistical Convergence in Gradual Normed Linear Spaces
AU  - Gumus, Hafize
AU  - Bolat, Seyma
PY  - 2025
DA  - October
Y2  - 2025
DO  - 10.36753/mathenot.1720763
JF  - Mathematical Sciences and Applications E-Notes
JO  - Math. Sci. Appl. E-Notes
PB  - Murat TOSUN
WT  - DergiPark
SN  - 2147-6268
SP  - 179
EP  - 189
VL  - 13
IS  - 4
LA  - en
AB  - Following the studies on gradual numbers, which are expressed with membership functions and have many important application areas in daily life, studies on gradual normed linear spaces (GNLS) have also gained speed in recent years. On the other hand, it is thought that the definition of $\mathcal{I-}$statistical convergence, which generalizes many types of convergence, for a sequence in these spaces, and the results obtained will be important. For this reason, lacunary $\mathcal{I-}$statistical convergence in gradual normed linear spaces is defined in this paper. Therefore, more general results were obtained compared to previous studies in this area.
KW  - $\mathcal{I-}$Convergence
KW  - $\mathcal{I-}$
statistical convergence
KW  - Gradual normed linear space
KW  - Gradual numbers
KW  - Lacunary sequences
KW  - Statistical convergence
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UR  - https://doi.org/10.36753/mathenot.1720763
L1  - https://dergipark.org.tr/en/download/article-file/4964004
ER  -