TY  - JOUR
T1  - $\mathfrak{I}$-Limit and $\mathfrak{I}$-Cluster Points for Functions Defined on Amenable Semigroups
AU  - Ulusu, Uğur
AU  - Nuray, Fatih
AU  - Dündar, Erdinç
PY  - 2021
DA  - March
Y2  - 2021
DO  - 10.33401/fujma.842104
JF  - Fundamental Journal of Mathematics and Applications
JO  - Fundam. J. Math. Appl.
PB  - Fuat USTA
WT  - DergiPark
SN  - 2645-8845
SP  - 45
EP  - 48
VL  - 4
IS  - 1
LA  - en
AB  - In this paper firstly, for functions defined on discrete countable amenable semigroups (DCASG), notions of $\mathfrak{I}$-limit and $\mathfrak{I}$-cluster points are introduced. Then, for the functions, notions of $\mathfrak{I}$-limit superior and inferior are examined.
KW  - Amenable semigroups
KW  - Folner  sequence
KW  - I-Convergence
KW  - I-Cluster  points
KW  - I-Limit  points
CR  - [1] P. Kostyrko, T. Salat, W. Wilczy´nski, I-convergence, Real Anal. Exchange, 26(2) (2000), 669–686.
CR  - [2] P. Kostyrko, M. Macaj, T. Salat, M. Sleziak, I-convergence and extremal I-limit points, Math. Slovaca, 55 (2005), 443–464.
CR  - [3] K. Demirci, I-limit superior and limit inferior, Math. Commun., 6 (2001), 165–172.
CR  - [4] M. Day, Amenable semigroups, Illinois J. Math., 1 (1957), 509–544.
CR  - [5] S. A. Douglass, On a concept of summability in amenable semigroups, Math. Scand., 28 (1968), 96–102.
CR  - [6] P. F. Mah, Summability in amenable semigroups, Trans. Amer. Math. Soc., 156 (1971), 391–403.
CR  - [7] F. Nuray, B. E. Rhoades, Some kinds of convergence defined by Folner sequences, Analysis, 31(4) (2011), 381–390.
CR  - [8] E. Dündar, F. Nuray, U. Ulusu, I-convergent functions defined on amenable semigroups, (in review).
CR  - [9] I. Namioka, Følner’s conditions for amenable semigroups, Math. Scand., 15 (1964), 18–28.
UR  - https://doi.org/10.33401/fujma.842104
L1  - https://dergipark.org.tr/en/download/article-file/1452933
ER  -