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Now showing items 11-19 of 19
I-convergent functions defined on amenable semigroups
(2020)
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 ...
Invariant and lacunary invariant statistical convergence of order η for double set sequences
(2021)
In this study, for double set sequences, we introduced the notions of invariant and lacunary invariant statistical convergence of order η (0 < η ≤ 1) in the Wijsman sense. Also, we investigated the inclusion relations ...
Invariant and invariant statistical equivalence of order β for double set sequences
(2021)
In this paper, for double set sequences, the concepts of asymptotical invariant equivalence and asymptotical invariant statistical equivalence of order β (0 < β ≤ 1) in the Wijsman sense were introduced. Also, some properties ...
Some properties of two dimensional interval numbers
(2022)
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 ...
I-limit and I-cluster points for functions defined on amenable semigroups
(2021)
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 ...
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.
Asymptotical deferred invariant statistical equivalence of order α for sequences of sets
(2021)
In this paper, we introduced the concepts of asymptotical strongly p-deferred invariant and deferred invariant statistical equivalence of order α (0 < α ≤ 1) in the Wijsman sense for sequences of sets. Also, we examined ...
Lacunary statistical equivalence of order 𝞰 for double sequences of sets
(Springer, 2023)
In this study, by introducing the concepts of asymptotical lacunary statistical and asymptotical strong p-lacunary equivalence of order ( 0 < 𝜂 ≤ 1 ) in the Wijsman sense for double set sequences, some properties of ...
Ideal convergence in partial metric spaces
(Springer, 2023)
The aim of this paper was to develop the summability literature by introducing the concept of I_p-convergence in the partial metric space (X, p). First, we give some properties of I_p-convergence. Also, we introduce the ...