Now showing items 1-8 of 8

• #### Asymptotical invariant and asymptotical lacunary invariant equivalence types for double sequences via ideals using modulus functions ﻿

(Honam Mathematical Society, 2021)
In this study, we present some asymptotical invariant and asymptotical lacunary invariant equivalence types for double sequences via ideals using modulus functions and investigate relationships between them.
• #### I-convergent functions defined on amenable semigroups ﻿

In this paper, we introduce and study the concepts of I-convergence, I*-convergence, I-Cauchy sequence and I*-Cauchy sequence of functions defined on discrete countable amenable groups, where I is an ideal of subsets of ...
• #### I-limit and I-cluster points for functions deﬁned on amenable semigroups ﻿

In this paper ﬁrstly, for functions deﬁned on discrete countable amenable semigroups (DCASG), the notions of I-limit and I-cluster points are introduced. Then, for the functions, the notions of I-limit superior and ...
• #### Invariant and lacunary invariant statistical equivalence of order β for double set sequences ﻿

In this study, as a new approach to the concept of asymptotical equivalence in the Wijsman sense for double set sequences, the new concepts which are called asymptotical invariant statistical equivalence of order β and ...
• #### On rough convergence in amenable semigroups and some properties ﻿

(IOS Press, 2021)
The authors of the present paper, ﬁrstly, investigated relations between the notions of rough convergence and classical convergence, and studied on some properties of the rough convergence notion which the set of rough ...
• #### Some properties of two dimensional interval numbers ﻿

In this paper, we will introduce the notion of convergence of two dimensional interval sequences and show that the set of all two dimensional interval numbers is a metric space. Also, some ordinary vector norms will be ...
• #### Wijsman asymptotic lacunary I_2-invariant equivalence for double set sequences ﻿

In this study, for double set sequences, we present the notions of Wijsman asymptotic lacunary invariant equivalence, Wijsman asymptotic lacunary I_2-invariant equivalence and Wijsman asymptotic lacunary I*_2-invariant ...
• #### Wijsman lacunary I-invariant convergence of sequences of sets ﻿

In this paper, we study the concepts of Wijsman lacunary I-invariant convergence (.1.), Wijsman lacu- nary I*-invariant convergence (.2.), Wijsman p-strongly lacunary invariant convergence (.3.) of sequences of sets ...