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 $E^n$.
📌 3 Maddede Bu Makale
🎯
Amaç & Hipotez: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 $E^1$.
📊
Temel Bulgular & Veri: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 $E^1$.
💡
Sonuç & Katkı: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 $E^n$.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:fuzzy set theory · statistical limits · logarithmic summability
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 $E^n$.
L. A. Zadeh, Fuzzy sets, Inform. Control 8(1965) 338–353
J. Li, A. Zhao and J. Yan, The Cauchy problem of fuzzy differential equations under generalized differentiability, Fuzzy Set Syst 200(2012) 1–24
O. Kaleva, Fuzzy differential equations, Fuzzy Set Syst 24(1987) 301–317
S. Aytar, M. Mammadov and S. Pehlivan, Statistical limit inferior and limit superior for sequences of fuzzy numbers, Fuzzy Set Syst 157(7) (2006) 976–985
S. Aytar and S. Pehlivan, Statistical cluster and extreme limit points of sequences of fuzzy numbers, Inform. Sci. 177(16) (2007) 3290–3296 [6] H. Li and C. Wu, The integral of a fuzzy mapping over a directed line, Fuzzy Set Syst 158(2007) 2317–2338
O. Talo and F. Basar, On the slowly decreasing sequences of fuzzy numbers, Abstr. Appl. Anal. 2013(2013) 1–7
Y. K. Kim and B. M. Ghil, Integrals of fuzzy-number-valued functions, Fuzzy Set Syst 86(1997) 213–222 [9] O. Talo, E. Yavuz and H. Coskun, On the statistical limits of strongly measurable fuzzy valued functions, Konuralp Journal of Mathematics 8(1) (2020), 62–69 [10] C. Belen, Tauberian theorems for statistical limit and statistical summability by weighted means of continuous fuzzy valued functions, J. Math. Ext. 14(4) (2020
E. Yavuz, H. C¸ os¸kun, On the limits of logarithmic summable fuzzy-number-valued functions at infinity, Journal of Mathematical Analysis 8(3) (2017), 116–124
F. Moricz and Nemeth Z., Statistical extension of classical Tauberian theorems in the case of logarithmic summability, Anal. Math. 40(3) (2014) 231–242
C. Belen, Tauberian theorems for weighted mean summability method of improper Riemann integrals of fuzzy-numbervalued functions, Soft Comput 22(12) (2018) 3951–3957