On the Logarithmic Summability of Sequences in Intuitionistic Fuzzy Normed Spaces

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Fundamental Journal of Mathematics and Applications
Volume:3 Issue:2
On the Logarithmic Summability of Sequences in Intuitionistic Fuzzy Normed Spaces

On the Logarithmic Summability of Sequences in Intuitionistic Fuzzy Normed Spaces

Pages : 101-108

View : 58 | Download : 14

Publication Date : 2020-12-15

Article Type : Research Paper

Abstract :We introduce logarithmic summability in intuitionistic fuzzy normed spacesinsert ignore into journalissuearticles values($IFNS$); 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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