Statistical and Ideal Convergences in Topology
Mathematics, 2023 The notion of convergence wins its own important part in the branch of Topology. Convergences in metric spaces, topological spaces, fuzzy topological spaces, fuzzy metric spaces, partially ordered sets (in short, posets), and fuzzy ordered sets (in short,
D. Georgiou, G. Prinos, F. Sereti
doaj +4 more sources
On Generalized Difference Rough Ideal Statistical Convergence in Neutrosophic Normed Spaces [PDF]
Neutrosophic Sets and SystemsThis article’s main goal is to provide and investigate a novel statistical convergence generalisation for generalized difference sequences in Neutrosophic Normed Spaces (NNS) called rough ideal statistical convergence.
Manpreet Kaur, Meenakshi Chawla
doaj +3 more sources
On $A$-statistical convergence and $A$-statistical Cauchy via ideal
Karpatsʹkì Matematičnì Publìkacìï, 2022 In [Analysis 1985, 5 (4), 301-313], J.A. Fridy proved an equivalence relation between statistical convergence and statistical Cauchy sequence. In this paper, we define $A^{I^{\ast }}$-statistical convergence and find under certain conditions, that it is ...
O.H. Edely, M. Mursaleen
doaj +2 more sources
A NEW APPROACH TO EGOROV’S THEOREM BY MEANS OF 𝛼𝛽-STATISTICAL IDEAL CONVERGENCE
Проблемы анализа, 2022 In this work, we introduce the 𝛼𝛽-statistical pointwise ideal convergence, 𝛼𝛽-statistical uniform ideal convergence, and 𝛼𝛽-equi-statistical ideal convergence for sequences of fuzzy-valued functions.
Sonali Sharma, Kuldip Raj
doaj +2 more sources
Recovering Pressure-Independent Dilute-Gas Thermal Conductivity from Molecular Dynamics: Green–Kubo Sampling Sensitivity and NEMD Finite-Size Effects [PDF]
NanomaterialsGas thermal conductivity is important in many engineering systems, but reliable data are not available for every gas, mixture, temperature, and pressure.
Matthew Riggs +2 more
doaj +2 more sources
I-Statistical Rough Convergence of Order α
Journal of New Theory, 2022 The aim of this paper is to define the concept of I-statistical (I-st) rough convergence of order α (0 < α ≤ 1). It proposes the concept of I-st bounded of order α.
Sevcan Bulut, Aykut Or
doaj +1 more source
A novel hyperbolic tangent-augmented controller framework for temperature control in jacketed continuous stirred tank reactors [PDF]
Scientific ReportsAccurate temperature regulation of jacketed continuous stirred tank reactors (CSTRs) remains a challenging task due to strong nonlinearities, tight coupling between mass and energy balances, and sensitivity to disturbances and operating-point variations.
Davut Izci +7 more
doaj +2 more sources
Some properties of $I_3$-λ-statistical cluster points
Dera Natung Government College Research Journal, 2022 In this note, we investigate some problems concerning the set of λ-statistical cluster points of triple sequences via ideals in finite dimensional spaces, and some of its properties in finite dimensional Banach spaces are proved.
Verda Gürdal, Ömer Kişi
doaj +1 more source
Lacunary ℐ-Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces
Journal of Mathematics, 2021 The concepts of invariant convergence, invariant statistical convergence, lacunary invariant convergence, and lacunary invariant statistical convergence for set sequences were introduced by Pancaroğlu and Nuray (2013).
Mualla Birgül Huban
doaj +1 more source