Tauberian theorems for statistical logarithmic summability of strongly measurable fuzzy valued functions

Authors : Özer TALO, Enes YAVUZ, Husamettin COŞKUN

Pages : 91-100

Doi:10.33434/cams.727129

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Publication Date : 2020-06-30

Article Type : Research Paper

Abstract :We define statistical logarithmic summability of strongly measurable fuzzy valued functions and we give slowly decreasing type Tauberian conditions under which statistical limit at infinity and statistical logarithmic summability of strongly measurable fuzzy valued functions imply ordinary limit at infinity in one dimensional fuzzy number space $E^1$. Besides, we give slowly oscillating type Tauberian conditions for statistical limit and statistical logarithmic summability of strongly measurable fuzzy valued functions in $n-$dimensional fuzzy number space $E^n$.
Keywords : fuzzy set theory, statistical limits, logarithmic summability, Tauberian theorems