Tauberian theorems for statistical logarithmic summability of strongly measurable fuzzy valued functions
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Emrah Evren KARA
2020-06-01
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| Series: | Communications in Advanced Mathematical Sciences |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/1178317 |
| _version_ | 1797294194094505984 |
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| author | Enes Yavuz Özer Talo Husamettin Coşkun |
| author_facet | Enes Yavuz Özer Talo Husamettin Coşkun |
| author_sort | Enes Yavuz |
| collection | DOAJ |
| description | 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 $E^n$. |
| first_indexed | 2024-03-07T21:26:44Z |
| format | Article |
| id | doaj.art-41e9a6d785b640398672e04c2fcabb9e |
| institution | Directory Open Access Journal |
| issn | 2651-4001 |
| language | English |
| last_indexed | 2024-03-07T21:26:44Z |
| publishDate | 2020-06-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Communications in Advanced Mathematical Sciences |
| spelling | doaj.art-41e9a6d785b640398672e04c2fcabb9e2024-02-27T04:36:37ZengEmrah Evren KARACommunications in Advanced Mathematical Sciences2651-40012020-06-01329110010.33434/cams.7271291225Tauberian theorems for statistical logarithmic summability of strongly measurable fuzzy valued functionsEnes Yavuz0Özer Talo1Husamettin Coşkun2MANISA CELAL BAYAR UNIVERSITYCELÂL BAYAR ÜNİVERSİTESİCELÂL BAYAR ÜNİVERSİTESİWe 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 $E^n$.https://dergipark.org.tr/tr/download/article-file/1178317fuzzy set theorystatistical limitslogarithmic summabilitytauberian theorems |
| spellingShingle | Enes Yavuz Özer Talo Husamettin Coşkun Tauberian theorems for statistical logarithmic summability of strongly measurable fuzzy valued functions Communications in Advanced Mathematical Sciences fuzzy set theory statistical limits logarithmic summability tauberian theorems |
| title | Tauberian theorems for statistical logarithmic summability of strongly measurable fuzzy valued functions |
| title_full | Tauberian theorems for statistical logarithmic summability of strongly measurable fuzzy valued functions |
| title_fullStr | Tauberian theorems for statistical logarithmic summability of strongly measurable fuzzy valued functions |
| title_full_unstemmed | Tauberian theorems for statistical logarithmic summability of strongly measurable fuzzy valued functions |
| title_short | Tauberian theorems for statistical logarithmic summability of strongly measurable fuzzy valued functions |
| title_sort | tauberian theorems for statistical logarithmic summability of strongly measurable fuzzy valued functions |
| topic | fuzzy set theory statistical limits logarithmic summability tauberian theorems |
| url | https://dergipark.org.tr/tr/download/article-file/1178317 |
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