Cilt:68 Sayı:02 (2019)
http://hdl.handle.net/20.500.12575/75722
2022-11-26T21:49:21ZI-lacunary statistical convergence of weighted g via modulus functions in 2-normed spaces
http://hdl.handle.net/20.500.12575/75965
I-lacunary statistical convergence of weighted g via modulus functions in 2-normed spaces
Savaş, Ekrem; Yamancı, Ulaş; Gürdal, Mehmet
In this paper, we introduce new concepts of I-statistical convergence and I-lacunary statistical convergence using weighted density via modulus functions. Also, we study the relationship between them and obtain some interesting results.
2019-08-01T00:00:00ZApproximation properties of Bernstein-Kantorovich type operators of two variables
http://hdl.handle.net/20.500.12575/75964
Approximation properties of Bernstein-Kantorovich type operators of two variables
Karahan, Döne; İzgi, Aydın
In this study, the generalized Bernstein-Kantorovich type operators
are introduced and some approximation properties of these operators
are studied in the space of continuous functions of two variables on
a compact set . The convergence rate of these operators are obtained by
means of the modulus of continuity. The Voronovskaya type theorem is
given and some differential properties of these operators are proved.
2019-08-01T00:00:00Z[1,2]-Complementary connected domination number of graphs-III
http://hdl.handle.net/20.500.12575/75963
[1,2]-Complementary connected domination number of graphs-III
Mahadevan, G.; Renuka, K.
A set S⊆V(G) in a graph G is said to be [1,2]-complementary connected dominating set if for every vertex v∈V-S, 1≤|N(v)∩S|≤2 and <V-S> is connected. The minimum cardinality of [1,2]-complementary connected dominating set is called [1,2]-complementary connected domination number and is denoted by γ_{[1,2]cc}(G). In this paper, we investigate 3-regular graphs on twelve vertices for which γ_{[1,2]cc}(G)=χ(G)=3.
2019-08-01T00:00:00ZOn a graph of ideals of a commutative ring
http://hdl.handle.net/20.500.12575/75962
On a graph of ideals of a commutative ring
Khoramdel, Mehdi; Atani, Shahabaddin Ebrahimi; Pishhesari, Saboura Dolati
In this paper, we introduce and investigate a new graph of a commutative ring R, denoted by G(R), with all nontrivial ideals of R as vertices, and two distinct vertices I and J are adjacent if and only if ann(I∩J)=ann(I)+ann(J). In this article, the basic properties and possible structures of the graph G(R) are studied and investigated as diameter, girth, clique number, cut vertex and domination number. We characterize all rings R for which G(R) is planar, complete and complete r-partite. We show that, if (R,M) is a local Artinian ring, then G(R) is complete if and only if Soc(R) is simple. Also, it is shown that if R is a ring with G(R) is r-regular, then either G(R) is complete or null graph. Moreover, we show that if R is an Artinian ring, then R is a serial ring if and only if G(R/I) is complete for each ideal I of R.
2019-08-01T00:00:00Z