On the Logarithmic Summability of Sequences in Intuitionistic Fuzzy Normed Spaces

Year 2020, Volume: 3 Issue: 2 , 101 - 108 , 15.12.2020

Enes Yavuz

https://doi.org/10.33401/fujma.792994

Cited By: 5

https://izlik.org/JA25TJ92ZU

Abstract

We introduce logarithmic summability in intuitionistic fuzzy normed spaces($IFNS$) and give some Tauberian conditions for which logarithmic summability yields convergence in $IFNS$. Besides, we define the concept of slow oscillation with respect to logarithmic summability in $IFNS$, investigate its relation with the concept of q-boundedness and give Tauberian theorems by means of q-boundedness and slow oscillation with respect to logarithmic summability. A comparison theorem between Ces\`{a}ro summability method and logarithmic summability method in $IFNS$ is also proved in the paper.

Keywords

Intuitionistic fuzzy normed space , Logarithmic summability , Slow oscillation , Tauberian theorem

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